Log in

Relevant bibliographies by topics / Differential geometry – Global differential geometry – Global submanifolds

Contents

Journal articles
Dissertations / Theses
Books
Book chapters
Conference papers

Academic literature on the topic 'Differential geometry – Global differential geometry – Global submanifolds'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Differential geometry – Global differential geometry – Global submanifolds.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Differential geometry – Global differential geometry – Global submanifolds"

1

Banchoff, Thomas F., and S. S. Chern. "Global Differential Geometry." American Mathematical Monthly 98, no. 7 (August 1991): 669. http://dx.doi.org/10.2307/2324949.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Banchoff, Thomas F. "Global Differential Geometry. Editor, S. S. Chern." American Mathematical Monthly 98, no. 7 (August 1991): 669–71. http://dx.doi.org/10.1080/00029890.1991.11995775.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Huhtanen, Marko. "Differential geometry of matrix inversion." MATHEMATICA SCANDINAVICA 107, no. 2 (December 1, 2010): 267. http://dx.doi.org/10.7146/math.scand.a-15155.

Full text

Abstract:

Essentially, there exists just the dimension segregating (square) matrix subspaces. In view of algebraic operations, this quantity is not particularly descriptive. For differential geometric information on matrix inversion, the second fundamental form is found for the set of inverses of the invertible elements of a matrix subspace. Several conditions for this form to vanish are given, such as being equivalent to a Jordan subalgebra. Global measures of curvature are introduced in terms of an analogy of the Nash fiber.

APA, Harvard, Vancouver, ISO, and other styles

4

Urban, Zbyněk, and Demeter Krupka. "Foundations of higher-order variational theory on Grassmann fibrations." International Journal of Geometric Methods in Modern Physics 11, no. 07 (August 2014): 1460023. http://dx.doi.org/10.1142/s0219887814600238.

Full text

Abstract:

A setting for higher-order global variational analysis on Grassmann fibrations is presented. The integral variational principles for one-dimensional immersed submanifolds are introduced by means of differential 1-forms with specific properties, similar to the Lepage forms from the variational calculus on fibred manifolds. Prolongations of immersions and vector fields to the Grassmann fibrations are defined as a geometric tool for the variations of immersions, and the first variation formula in the infinitesimal form is derived. Its consequences, the Euler–Lagrange equations for submanifolds and the Noether theorem on invariant variational functionals are proved. Examples clarifying the meaning of the Noether theorem in the context of variational principles for submanifolds are given.

APA, Harvard, Vancouver, ISO, and other styles

5

Park, F. C. "Optimal Robot Design and Differential Geometry." Journal of Mechanical Design 117, B (June 1, 1995): 87–92. http://dx.doi.org/10.1115/1.2836475.

Full text

Abstract:

In this article we survey some recent developments in optimal robot design, and collect some of the differential geometric approaches into a general mathematical framework for robot design. The geometric framework permits a set of coordinate-free definitions of robot performance that can be optimized for designing both open- and closed-chain robotic mechanisms. In particular, workspace volume is precisely defined by regarding the rigid body motions as a Riemannian manifold, and various features of actuators, as well as inertial characteristics of the robot, can be captured by the suitable selection of a Riemannian metric in configuration space. The integral functional of harmonic mapping theory also provides a simple and elegant global description of dexterity.

APA, Harvard, Vancouver, ISO, and other styles

6

Park, F. C. "Optimal Robot Design and Differential Geometry." Journal of Vibration and Acoustics 117, B (June 1, 1995): 87–92. http://dx.doi.org/10.1115/1.2838681.

Full text

Abstract:

In this article we survey some recent developments in optimal robot design, and collect some of the differential geometric approaches into a general mathematical framework for robot design. The geometric framework permits a set of coordinate-free definitions of robot performance that can be optimized for designing both open- and closed-chain robotic mechanisms. In particular, workspace volume is precisely defined by regarding the rigid body motions as a Riemannian manifold, and various features of actuators, as well as inertial characteristics of the robot, can be captured by the suitable selection of a Riemannian metric in configuration space. The integral functional of harmonic mapping theory also provides a simple and elegant global description of dexterity.

APA, Harvard, Vancouver, ISO, and other styles

7

Simon, Udo. "Global uniqueness for ovaloids in Euclidean and affine differential geometry." Tohoku Mathematical Journal 44, no. 3 (1992): 327–34. http://dx.doi.org/10.2748/tmj/1178227299.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

Hale, J. K., and W. Z. Huang. "Global Geometry of the Stable Regions for Two Delay Differential Equations." Journal of Mathematical Analysis and Applications 178, no. 2 (September 1993): 344–62. http://dx.doi.org/10.1006/jmaa.1993.1312.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

CAZALS, FRÉDÉRIC, and MARC POUGET. "DIFFERENTIAL TOPOLOGY AND GEOMETRY OF SMOOTH EMBEDDED SURFACES: SELECTED TOPICS." International Journal of Computational Geometry & Applications 15, no. 05 (October 2005): 511–36. http://dx.doi.org/10.1142/s0218195905001816.

Full text

Abstract:

The understanding of surfaces embedded in E3 requires local and global concepts, which are respectively evocative of differential geometry and differential topology. While the local theory has been classical for decades, global objects such as the foliations defined by the lines of curvature, or the medial axis still pose challenging mathematical problems. This duality is also tangible from a practical perspective, since algorithms manipulating sampled smooth surfaces (meshes or point clouds) are more developed in the local than the global category. As a prerequisite for those interested in the development of algorithms for the manipulation of surfaces, we propose a concise overview of core concepts from differential topology applied to smooth embedded surfaces. We first recall the classification of umbilics, of curvature lines, and describe the corresponding stable foliations. Next, fundamentals of contact and singularity theory are recalled, together with the classification of points induced by the contact of the surface with a sphere. This classification is further used to define ridges and their properties, and to recall the stratification properties of the medial axis. Finally, properties of the medial axis are used to present sufficient conditions ensuring that two embedded surfaces are ambient isotopic. From a theoretical perspective, we expect this survey to ease the access to intricate notions scattered over several sources. From a practical standpoint, we hope it will be useful for those interested in certified approximations of smooth surfaces.

APA, Harvard, Vancouver, ISO, and other styles

10

Malta, Iaci, Nicolau C. Saldanha, and Carlos Tomei. "Morin singularities and global geometry in a class of ordinary differential operators." Topological Methods in Nonlinear Analysis 10, no. 1 (September 1, 1997): 137. http://dx.doi.org/10.12775/tmna.1997.026.

Full text

APA, Harvard, Vancouver, ISO, and other styles

More sources

Dissertations / Theses on the topic "Differential geometry – Global differential geometry – Global submanifolds"

1

Stewart, Chris G. "Incorporating global information into local nonlinear controllers." Thesis, Virginia Tech, 1990. http://hdl.handle.net/10919/41900.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Pouget, Marc. "Geometry of surfaces : from the estimation of local differential quantities to the robust extraction of global differential features." Nice, 2005. http://www.theses.fr/2005NICE4052.

Full text

Abstract:

Ce travail de recherche porte sur les aspects géométriques des mathématiques, de l’informatique et applications. Ce travail est fortement motivé par des applications telles que la conception assistée par ordinateur, l’imagerie médicale, le calcul scientifique et la simulation ou encore la réalité virtuelle et le multimédia. Cette thèse propose une analyse de la géométrie des surfaces tant d’un point de vue local que global. D’un point de vue local, le problème est l’estimation de la normale, des courbures et quantités d’ordre supérieur à partir d’une surface lise échantillonnée. D’un point de vue global, nous analysons les lignes d’extrême de courbure sur une surface, appelées ridges. D’une part, une méthode d’estimation des quantités différentielles locales avec ajustement d’un polynôme est étudiée : les propriétés de convergence sont établies et un algorithme est proposé et implémenté. D’autre part, des algorithmes sont développés pour le calcul de la topologie des ridges pour des surfaces discrétisées par un maillage ou paramétrées. Des conditions précises d’échantillonnage ainsi qu’un algorithme certifié sont données pour le cas d’une surface discrétisée par un maillage. Dans le cas d’une surface paramétrée, une équation implicite des ridges est calculée dans le domaine de paramétrage et les singularités sont analysées. Pour une paramétrisation polynomiale, ces équations sont aussi polynomiales et des méthodes spécifiques de calcul formel sont développées pour calculer la topologie de la courbe singulière des ridges
This research work relates to the geometrical aspects of mathematics, computer sciences and applications. This work is motivated by applications such as computer aided design, medical imaging, scientific computations and simulations or also virtual reality and multimedia. This thesis proposes an analysis of some local as well as global topics of the geometry of surfaces. From a local point of view, the problem is the estimation of the normal, the curvatures and quantities of higher order from points sampled on a smooth surface. From a global point of view, we analyze the lines of extreme curvature on surfaces, called ridges. On the one hand, a method for the estimation of local differential quantities with polynomial fitting is studied : the properties of convergence are established and an algorithm is proposed and implemented. On the other hand, algorithms are developed for the computation of the topology on the ridges for surfaces discretized by a mesh or parameterized. Precise conditions of sampling as wel as certified algorithm are given in the case of a surface, an implicit equation of the ridges is derived in the parametric domain and the singularities are analyzed for a polynomial parameterization. The equations are also polynomial, and specific methods of computer algebra are developed to compute the topology on the singular curve of the ridges

APA, Harvard, Vancouver, ISO, and other styles

3

Takei, Yoshitsugu. "THE GEOMETRY OF BICHARACTERISTICS AND THE GLOBAL EXISTENCE OF HOLOMORPHIC SOLUTIONS OF SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS." 京都大学 (Kyoto University), 1989. http://hdl.handle.net/2433/86416.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

Hitomi, Eduardo Eizo Aramaki 1989. "Equações parabólicas quase lineares e fluxos de curvatura média em espaços euclidianos." [s.n.], 2015. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306218.

Full text

Abstract:

Orientador: Olivâine Santana de Queiroz
Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação Científica
Made available in DSpace on 2018-08-27T03:06:43Z (GMT). No. of bitstreams: 1 Hitomi_EduardoEizoAramaki_M.pdf: 5800906 bytes, checksum: 04b93921a20d8ab0f71d4977b9e93e73 (MD5) Previous issue date: 2015
Resumo: Nesta dissertação realizamos um estudo sobre o fluxo de curvatura média em espaços Euclidianos sob as perspectivas analítica e geométrica. Tratamos inicialmente da existência e regularidade de soluções em tempos pequenos de equações parabólicas quase lineares de segunda ordem em variedades Riemannianas, o que é essencial para garantirmos a existência de uma solução suave em tempo pequeno do fluxo de curvatura média. Em uma segunda parte, passamos a alguns resultados sobre o comportamento no intervalo maximal de existência de uma solução suave da hipersuperfície em evolução, por meio de equações das componentes geométricas associadas e de Princípios de Máximo. Próximo desse tempo maximal, analisamos a formação de singularidades do Tipo I por meio da Fórmula de Monotonicidade de Huisken e de rescalings, e do Tipo II por meio de uma técnica de blow-up devida a Hamilton. Em especial, reservamos o caso de curvas a um capítulo a parte e apresentamos resultados clássicos da teoria de curve-shortening flows
Abstract: In this dissertation we study the mean curvature flow in Euclidean spaces from the analytic and geometric point of view. We deal initially with short-time existence and regularity of a solution for second order quasilinear parabolic equations on Riemannian manifolds, which is essential to guarantee the short-time existence of a smooth solution to the mean curvature flow. In a second part, we present some results concerning the behavior of the evolving hypersurface close to the maximal time of existence of a smooth solution, by means of Maximum Principles and evolution equations of the associated geometric components. Close to this maximal time, we analyse the formation of singularities of Type I by means of rescalings and Huisken's Monotonicity Formula, and of Type II by means of a blow-up technique due to Hamilton. In particular, we reserve the case of curves to a separate chapter, where we present some classical results in curve-shortening flow theory
Mestrado
Matematica
Mestre em Matemática

APA, Harvard, Vancouver, ISO, and other styles

5

Enders, Joerg. "Generalizations of the reduced distance in the Ricci flow - monotonicity and applications." Diss., Connect to online resource - MSU authorized users, 2008.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

6

Paula, Pedro Manfrim Magalhães de 1991. "Consequências geométricas associadas à limitação do tensor de Bakry-Émery-Ricci." [s.n.], 2015. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306950.

Full text

Abstract:

Orientador: Diego Sebastian Ledesma
Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação Científica
Made available in DSpace on 2018-08-26T22:36:25Z (GMT). No. of bitstreams: 1 Paula_PedroManfrimMagalhaesde_M.pdf: 1130226 bytes, checksum: bbd8d375ddf7846ed2eafe024103e682 (MD5) Previous issue date: 2015
Resumo: Este trabalho apresenta um estudo sobre variedades Riemannianas que possuem um tensor de Bakry-Émery-Ricci com limitações. Inicialmente abordamos tanto aspectos da geometria Riemanniana tradicional como métricas e geodésicas, quanto aspectos mais avançados como as fórmulas de Bochner, Weitzenböck e o teorema de Hodge. Em seguida discutimos a convergência de Gromov-Hausdorff e suas propriedades, além de serem apresentados alguns teoremas como os de Kasue e Fukaya. Por fim estudamos as propriedades topológicas e geométricas de variedades com limitação no tensor de Bakry-Émery-Ricci e o comportamento de tais limitações com respeito à submersões e à convergência de Gromov-Hausdorff
Abstract: This work presents a study about Riemannian manifolds having a Bakry-Émery-Ricci tensor with bounds. Initially we approached both the traditional aspects of Riemannian geometry like metrics and geodesics, as more advanced aspects like the Bochner, Weitzenböck formulas and the Hodge's theorem. Then we discussed the Gromov-Hausdorff convergence and its properties, in addition to showing some theorems as those from Kasue and Fukaya. Lastly we studied the topological and geometric properties of manifolds with bounds on the Bakry-Émery-Ricci tensor and the behavior of these bounds with respect to submersions and the Gromov-Hausdorff convergence
Mestrado
Matematica
Mestre em Matemática

APA, Harvard, Vancouver, ISO, and other styles

7

Mazzoni, Michele. "A fibre bundle approach to U(1) symmetries in physics." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2018. http://amslaurea.unibo.it/16776/.

Full text

Abstract:

In questa tesi si utilizza il formalismo dei fibrati principali per descrivere le propriet`a topologiche globali di sistemi fisici classici e quantistici che presentano simmetrie legate all’azione del gruppo U(1). Nel primo capitolo `e contenuta una esposizione della teoria matematica dei fibrati, con un particolare riguardo ai fibrati principali ed alle strutture differenziali definibili su di essi (forme differenziali di connessione e curvatura). Nel secondo capitolo si impiega il formalismo precedentemente sviluppato per trattare le propriet`a del monopolo magnetico di Dirac e si ottiene una quantizzazione della carica magnetica sulla base di considerazioni di natura topologica. Inoltre, si mostra l’impiego dei fibrati principali U(1) nella costruzione di una descrizione Lagrangiana globale per sistemi quali una particella carica nel campo del monopolo e una particella classica con spin in campo magnetico. Nel terzo capitolo, si descrive teoricamente la comparsa di una fase geometrica (fase di Berry) in sistemi quantistici che evolvono adiabaticamente nel tempo, e si fornisce un’interpretazione geometrica di tale fase come olonomia in un fibrato principale U(1). Il moto di una particella quantistica con spin in campo magnetico quasi-statico e l’effetto Aharonov-Bohm vengono presentati come esempi tipici di manifestazione di una fase geometrica.

APA, Harvard, Vancouver, ISO, and other styles

8

Vallet, Bruno. "Bases de fonctions sur les variétés." Phd thesis, Institut National Polytechnique de Lorraine - INPL, 2008. http://tel.archives-ouvertes.fr/tel-00311743.

Full text

Abstract:

Les bases de fonctions sont des outils indispensables de la géométrie numérique puisqu'ils permettent de représenter des fonctions comme des vecteurs, c'est à dire d'appliquer les outils de l'algèbre linéaire à l'analyse fonctionnelle. Dans cette thèse, nous présentons plusieurs constructions de bases de fonctions sur des surfaces pour la géométrie numérique. Nous commençons par présenter les bases de fonctions usuelles des éléments finis et du calcul extérieur discret, leur théorie et leurs limites. Nous étudions ensuite le Laplacien et sa discrétisation, ce qui nous permettra de construire une base de fonctions particulière: les fonctions propres de l'opérateur de Laplace-Beltrami, ou harmoniques variétés. Celles-ci permettent de généraliser la transformée de Fourier et le filtrage spectral aux fonctions définies sur des surfaces. Nous présentons ensuite des applications de cette base de fonction à la géométrie numérique. En particulier, nous montrons qu'une fois calculée, cette base de fonction permet de filtrer la géométrie en temps interactif. Pour pouvoir définir des bases de fonctions de façon plus indépendante du maillage de la surface, nous nous intéressons ensuite aux paramétrisations globales, et en particulier aux champs de directions à symétries qui permettent de les définir. Ainsi, dans la dernière partie, nous étudions ces champs de directions à symétries, et en particulier leur géométrie et leur topologie. Nous proposons enfin des outils pour les construire, les manipuler et les visualiser.

APA, Harvard, Vancouver, ISO, and other styles

9

"A survey on compact quantum metric spaces." 2013. http://library.cuhk.edu.hk/record=b5884347.

Full text

Abstract:

Wong, Chun Yin.
Thesis (M.Phil.)--Chinese University of Hong Kong, 2013.
Includes bibliographical references (leaves 133-135).
Electronic reproduction. Hong Kong : Chinese University of Hong Kong, [2012] System requirements: Adobe Acrobat Reader. Available via World Wide Web.
Abstracts also in Chinese.

APA, Harvard, Vancouver, ISO, and other styles

10

Bailey, Michael. "On the Local and Global Classification of Generalized Complex Structures." Thesis, 2012. http://hdl.handle.net/1807/32657.

Full text

Abstract:

We study a number of local and global classiﬁcation problems in generalized complex geometry. Generalized complex geometry is a relatively new type of geometry which has applications to string theory and mirror symmetry. Symplectic and complex geometry are special cases. In the ﬁrst topic, we characterize the local structure of generalized complex manifolds by proving that a generalized complex structure near a complex point arises from a holomorphic Poisson structure. In the proof we use a smoothed Newton’s method along the lines of Nash, Moser and Conn. In the second topic, we consider whether a given regular Poisson structure and transverse complex structure come from a generalized complex structure. We give cohomological criteria, and we ﬁnd some counterexamples and some unexpected examples, including a compact, regular generalized complex manifold for which nearby symplectic leaves are not symplectomorphic. In the third topic, we consider generalized complex structures with nondegenerate type change; we describe a generalized Calabi-Yau structure induced on the type change locus, and prove a local normal form theorem near this locus. Finally, in the fourth topic, we give a classiﬁcation of generalized complex principal bundles satisfying a certain transversality condition; in this case, there is a generalized ﬂat connection, and the classiﬁcation involves a monodromy map to the Courant automorphism group.

APA, Harvard, Vancouver, ISO, and other styles

Books on the topic "Differential geometry – Global differential geometry – Global submanifolds"

1

Semiparallel submanifolds in space forms. New York: Springer, 2009.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

2

Li, Weiping, and Shihshu Walter Wei. Geometry and topology of submanifolds and currents: 2013 Midwest Geometry Conference, October 19, 2013, Oklahoma State University, Stillwater, Oklahoma : 2012 Midwest Geometry Conference, May 12-13, 2012, University of Oklahoma, Norman, Oklahoma. Providence, Rhode Island: American Mathematical Society, 2015.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

3

Bär, Christian, Joachim Lohkamp, and Matthias Schwarz, eds. Global Differential Geometry. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-22842-1.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

Joachim, Lohkamp, Schwarz Matthias, and SpringerLink (Online service), eds. Global Differential Geometry. Berlin, Heidelberg: Springer-Verlag Berlin Heidelberg, 2012.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

5

Southeast Geometry Seminar (15th 2009 University of Alabama at Birmingham). Geometric analysis, mathematical relativity, and nonlinear partial differential equations: Southeast Geometry Seminars Emory University, Georgia Institute of Technology, University of Alabama, Birmingham, and the University of Tennessee, 2009-2011. Edited by Ghomi Mohammad 1969-. Providence, Rhode Island: American Mathematical Society, 2013.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

6

Ferus, Dirk, Ulrich Pinkall, Udo Simon, and Berd Wegner, eds. Global Differential Geometry and Global Analysis. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/bfb0083621.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

Beem, John K. Global Lorentzian geometry. 2nd ed. New York: Marcel Dekker, 1996.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

8

(Dietmar), Salamon D., ed. J-holomorphic curves and symplectic topology. 2nd ed. Providence, R.I: American Mathematical Society, 2012.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

9

Global calculus. Providence, RI: American Mathematical Society, 2005.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

10

Ramanan, S. Global calculus. Providence, R.I: American Mathematical Society, 2005.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

More sources

Book chapters on the topic "Differential geometry – Global differential geometry – Global submanifolds"

1

Lumiste, Ülo. "On Submanifolds with parallel higher order fundamental form in euclidean spaces." In Global Differential Geometry and Global Analysis, 126–37. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/bfb0083636.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Hitchin, Nigel. "Global Differential Geometry." In Mathematics Unlimited — 2001 and Beyond, 577–91. Berlin, Heidelberg: Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-642-56478-9_29.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Freyn, Walter. "Kac-Moody Geometry." In Global Differential Geometry, 55–92. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-22842-1_3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

Bernig, Andreas. "Algebraic Integral Geometry." In Global Differential Geometry, 107–45. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-22842-1_5.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Schwachhöfer, Lorenz J. "Holonomy Groups and Algebras." In Global Differential Geometry, 3–37. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-22842-1_1.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Hanke, Bernhard. "Positive Scalar Curvature, K-area and Essentialness." In Global Differential Geometry, 275–302. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-22842-1_10.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

Bunke, Ulrich, and Thomas Schick. "Differential K-Theory: A Survey." In Global Differential Geometry, 303–57. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-22842-1_11.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

Bär, Christian, and Nicolas Ginoux. "Classical and Quantum Fields on Lorentzian Manifolds." In Global Differential Geometry, 359–400. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-22842-1_12.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

Goette, Sebastian. "Computations and Applications of η Invariants." In Global Differential Geometry, 401–33. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-22842-1_13.

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

Albers, Peter, and Urs Frauenfelder. "Rabinowitz Floer Homology: A Survey." In Global Differential Geometry, 437–61. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-22842-1_14.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Differential geometry – Global differential geometry – Global submanifolds"

1

Richter, Thomas. "SSIM as global quality metric: A differential geometry view." In 2011 Third International Workshop on Quality of Multimedia Experience (QoMEX 2011). IEEE, 2011. http://dx.doi.org/10.1109/qomex.2011.6065701.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Richter, Thomas. "From index to metric: using differential geometry to define a global visual quality metric." In SPIE Optical Engineering + Applications, edited by Andrew G. Tescher. SPIE, 2011. http://dx.doi.org/10.1117/12.896091.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Ma, Baoshun, Robert Harbaugh, Jia Lu, and Madhavan Raghavan. "Modeling the Geometry, Hemodynamics and Tissue Mechanics of Cerebral Aneurysms." In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-60024.

Full text

Abstract:

The relationship between cerebral aneurysm geometry and biomechanics was investigated. Human cerebral aneurysm geometry was reconstructed from computed tomography angiography (CTA) and refined. Various indices of global geometric (size and shape) features were computed based on differential and computational geometry techniques. Computational fluid dynamics (CFD) simulations were performed to model both steady and pulsatile blood flow in the aneurysm and surrounding vasculature. Hemodynamic indices such as wall shear stress, pressure and particle residence time were obtained. Nonlinear finite element method (FEM) and a reported finite strain constitutive model were employed to estimate the distribution of mechanical stress in the aneurysm wall under static pressure. Shear stress, sac pressure and mechanical stress correlated better with lesion shape while particle residence time correlated better with lesion size.

APA, Harvard, Vancouver, ISO, and other styles

4

O̸stergaard, Niels H., Anders Lyckegaard, and Jens H. Andreasen. "On Lateral Buckling Failure of Armour Wires in Flexible Pipes." In ASME 2011 30th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2011. http://dx.doi.org/10.1115/omae2011-49358.

Full text

Abstract:

This paper introduces the concept of lateral buckling of tensile armour wires in flexible pipes as a failure mode. This phenomenon is governed by large deflections and is therefore highly non-linear. A model for prediction of the wire equilibrium state within the pipe wall based on force equilibrium in curved beams and curvature expressions derived from differential geometry is presented. On this basis, a model of the global equilibrium state of the armour layers in flexible pipes is proposed. Furthermore, it is demonstrated how this model can be used for lateral buckling prediction. Obtained results are compared with experiments.

APA, Harvard, Vancouver, ISO, and other styles

5

Müller, Andreas. "A Screw Approach to the Approximation of the Local Geometry of the Configuration Space and of the Set of Configurations of Certain Rank of Lower Pair Linkages." In ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/detc2018-85526.

Full text

Abstract:

The determination of the finite mobility of a linkage boils down to the analysis of its configuration space (c-space). Since a global analysis is not feasible in general (but only for particular cases), the research focused on methods for a local analysis. Past research has in particular addressed the approximation of finite curves in c-space (i.e. finite motions). No universal method for the approximation of the c-space itself has been reported. In this paper a generally applicable formulation of the equations defining the higher-order local approximation of the c-space as well as the set of points where the Jacobian has a certain rank are presented. To this end, algebraic formulations of the higher-order differential of the constraint mapping (defining the loop closure) and of the Jacobian minors of arbitrary order are introduced. The respective local approximation is therewith given in terms of a low-order polynomial system. Results are shown for a simple planar 4-bar linkage and a planar three-loop linkage. Since the latter exhibits a cusp singularity it cannot be treated by the local analysis methods proposed thus far, which are based on approximating finite curves.

APA, Harvard, Vancouver, ISO, and other styles

6

Ghaderi, P., and M. Bankehsaz. "Effects of Material Properties Estimations on the Thermo-Elastic Analysis for Functionally Graded Thick Spheres and Cylinders." In ASME 2007 International Mechanical Engineering Congress and Exposition. ASMEDC, 2007. http://dx.doi.org/10.1115/imece2007-41475.

Full text

Abstract:

In this paper effects of material properties estimations, used for particulate reinforced composites, on the thermo-mechanical response of functionally graded sphere and cylinder are presented. A numerical solution for an arbitrary material gradation is obtained for each geometry independently. With this assumption, the governing partial differential equations are reduced to an ordinary differential equation in each geometry. The thermo-elastic solution for hollow sphere is derived using spherical symmetry. However, plane strain and axial symmetry are assumed for solving hollow cylinder. In the numerical method, radial domain is divided into some finite sub-domains and material properties are assumed to be constant in each sub-domain. With this assumption, the governing thermal and mechanical equations in each sub-domain are an ODE with constant coefficients. Imposing the continuity conditions at the interface of the adjacent sub-domains, together with the global boundary conditions, a set of linear algebraic equations are derived. Solving the linear algebraic equations, the thermo-elastic responses for the thick-walled FG sphere and cylinder are obtained. Three methods of gradation are used for comparing the effects of different material properties estimations on the results; Rule of Mixtures as a conventional method, Mori-Tanaka estimation and self-consistent scheme. The results show that estimations for material properties could be influential to the thermo-elastic response for some profiles of volume fractions of constituents. However, the effect on elastic response is negligible.

APA, Harvard, Vancouver, ISO, and other styles

7

Chen, Li Hua, Shou Jie Cui, Xiao Zhi Zhang, and Wei Zhang. "Study on Large Deformation of Laminated Piezoelectric Rectangular Plate." In ASME 2018 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/imece2018-88599.

Full text

Abstract:

For the laminated piezoelectric rectangular plate with large deflection and large rotation, the nonlinear equilibrium differential equations are derived and solved. Firstly, the global Cartesian coordinate system to describe the undeformed geometry and the local orthogonal curvilinear coordinate system to describe the deformed geometry are established respectively on the mid-plane of the plate before and after the deformation, and the relationship between the two coordinates is expressed by transformation matrix. For the convenience of calculation, the expressions of the nonlinear curvatures and inplane strains are obtained by Taylor series expansion. Considering the piezoelectric effect, three equilibrium partial differential equations describing nonlinear bending problems are obtained by the principle of virtual work. Furthermore, in order to simplify the solution process, the stress function is introduced to automatically satisfy the first two equations for the large deformation of the cantilever plate, and the relationship between stress function, the mid-plane internal force and shear force is also given for the first time. Therefore, the stress function and the transversal displacement are the main unknowns of the governing equation and compatibility equation. Additionally, the approximate deflection function and stress function are given which can satisfy all the displacement boundary conditions and only part of the force boundary conditions. Thereby, the generalized Galerkin method is used to obtain the approximate solution of the nonlinear bending problem. Finally, the results in the study are verified by comparison with the results obtained from the finite element method. It also provides a theoretical basis for the engineering application of the large deformation of the piezoelectric cantilever plate.

APA, Harvard, Vancouver, ISO, and other styles

8

Karam, A., and D. Play. "A Discrete Analysis of Metal-V Belt Drive." In ASME 1992 Design Technical Conferences. American Society of Mechanical Engineers, 1992. http://dx.doi.org/10.1115/detc1992-0040.

Full text

Abstract:

Abstract The metal-V belt drive includes a large number of parts which interact between them to transmit power from the input to the output pulleys. A compression belt composed of a great number of struts is maintained by a tension flat belt. Power is them shared into the two belts that moves generally in opposite directions. Due to the particular geometry of the elements and to the great number of parts, a numerical approach achieves the global equilibrium of the mechanism from the elementary part equilibrium. Sliding arc on each pulley can be thus defined both for the compression and tension belts. Finally, power sharing can be calculated as differential motion between the belts, is defined. The first part of the paper will present the different steps of the quasi-static mechanical analysis and their numerical implementations. Load distributions, speed profiles and sliding angle values will be discussed. The second part of the paper will deal to a systematic use of the computer software. Speed ratio, transmitted torque, strut geometry and friction coefficients effect will be analysed in relation with the output parameter variations. Finally, the effect pulley deformable flanges will be discussed.

APA, Harvard, Vancouver, ISO, and other styles

9

Sbutega, Krsto, and Ivan Catton. "Application of Fourier-Galerkin Method to Volume Averaging Theory Based Model of Heat Sinks." In ASME 2013 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/imece2013-65244.

Full text

Abstract:

Efficient analysis of heat sink performance is a crucial step in the optimization process of such devices. Accurate analysis of these complex geometric systems with CFD and FE methods requires fine meshes, which imply significant computational time. In this study, Volume Averaging Theory (VAT) is rigorously applied to obtain a geometrically simplified but physically accurate model for any periodic heat sink geometry. The governing equations are averaged over a Representative Averaging Volume (REV) to obtain a set of integro-differential equations. Some information about lower level phenomena is lost in every averaging process and a closure scheme is required to model these behaviors. Experimental data for friction factor and Nusselt number in an REV is used to close the set of PDEs. This mathematical process replaces the complex geometry of the heat sink with a fictitious continuous medium and smoothens the quantities of interest throughout the system. These system features allow the use of a global Fourier-Galerkin method to efficiently solve the resulting equations and accurately predict the performance of the system. The effectiveness of the method is proven by applying it to model thermal behavior for laminar flow over an air-cooled pin-fin heat sink and a water-cooled micro-channel heat sink. The convergence in the Nusselt number in the case of constant heat flux is found to be quadratic with respect to the number of basis functions. The accuracy of the method is validated by comparing the numerical results obtained to existing experimental data. The maximum difference between the predicted Nusselt number and the experimental measurements is found to be only 4% for both cases.

APA, Harvard, Vancouver, ISO, and other styles

10

Kim, H. G., Ian R. Grosse, and S. V. Nair. "Error Estimation and Mesh Optimization for Finite Element Analysis of Short Fiber Reinforced Composite Materials." In ASME 1992 International Computers in Engineering Conference and Exposition. American Society of Mechanical Engineers, 1992. http://dx.doi.org/10.1115/cie1992-0099.

Full text

Abstract:

Abstract Knowledge of internal stress fields in fiber or whisker reinforced composites is crucial to the design, manufacturing and applications of composites. Finite element analysis (FEA) presents the only rigorous approach to a solution of this problem. However, the application of FEA to composites requires careful attention to the geometry of the optimum mesh used in the analysis. Standard energy analysis and mesh refinement procedures have yet to be generalized or extended to the special case of fiber or whisker reinforced non-homogeneous composites. Current automatic mesh generation codes do not provide the optimum mesh for composites. This paper is concerned with the development of a generalized approach for optimal mesh refinement in a short fiber reinforced composite. Optimization procedures are based on the calculation of the error in energy norm for global convergence and the traction differential approach at the fiber/matrix interface for local convergence whereas the mesh refinement strategy is based on the use of elongated elements at the fiber/matrix interface. An isoparametric finite element model that has a periodic hexagonal array of elastic fibers surrounded by an elastic matrix was used in the investigation. It is shown that this approach provides the optimum mesh with a much more rapid convergence than conventional meshes. In this manner converged local solutions can be obtained with significantly lower degrees of freedom than by conventional mesh refinement methods.

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!