Relevant bibliographies by topics / Geometry {Global differential geometry}

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Geometry {Global differential geometry}'

Author: Grafiati
Published: 4 June 2021
Last updated: 9 February 2022

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Journal articles on the topic "Geometry {Global differential geometry}"

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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.

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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.

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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.

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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.
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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.

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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.
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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.

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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.
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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.

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SARDANASHVILY, G. "GEOMETRY OF CLASSICAL HIGGS FIELDS." International Journal of Geometric Methods in Modern Physics 03, no. 01 (February 2006): 139–48. http://dx.doi.org/10.1142/s0219887806001065.

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In gauge theory, Higgs fields are responsible for spontaneous symmetry breaking. In classical gauge theory on a principal bundle P, a symmetry breaking is defined as the reduction of a structure group of this principal bundle to a subgroup H of exact symmetries. This reduction takes place if and only if there exists a global section of the quotient bundle P/H. It is a classical Higgs field. A metric gravitational field exemplifies such a Higgs field. We summarize the basic facts on the reduction in principal bundles and geometry of Higgs fields. Our goal is the particular covariant differential in the presence of a Higgs field.
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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.

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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.

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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.
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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.

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Dissertations / Theses on the topic "Geometry {Global differential geometry}"

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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.

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Orientador: Diego Sebastian Ledesma
Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação Científica
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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
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Stewart, Chris G. "Incorporating global information into local nonlinear controllers." Thesis, Virginia Tech, 1990. http://hdl.handle.net/10919/41900.

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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.

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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
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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.

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Orientador: Olivâine Santana de Queiroz
Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação Científica
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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
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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.

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

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Whiteway, L. "Topics in differential geometry." Thesis, University of Oxford, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.379896.

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Taylor, Thomas E. "Differential geometry of Minkowski spaces." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp04/mq24990.pdf.

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Lenssen, Mark. "A topic in differential geometry." Thesis, University of Oxford, 1992. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.314920.

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Guo, Guang-Yuan. "Differential geometry of holomorphic bundles." Thesis, University of Oxford, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.239283.

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Books on the topic "Geometry {Global differential geometry}"

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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.

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

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

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Riemannian geometry and geometric analysis. Berlin: Springer, 1995.

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Jost, Jürgen. Riemannian geometry and geometric analysis. 2nd ed. Berlin: Springer, 1998.

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Riemannian geometry and geometric analysis. 5th ed. Berlin: Springer, 2008.

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Riemannian geometry and geometric analysis. 3rd ed. Berlin: Springer, 2002.

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Cordero, Luis A. Differential Geometry of Frame Bundles. Dordrecht: Springer Netherlands, 1988.

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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.

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Parrott, Stephen. Relativistic Electrodynamics and Differential Geometry. New York, NY: Springer New York, 1987.

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Book chapters on the topic "Geometry {Global differential geometry}"

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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.

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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.

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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.

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Alekseevskij, D. V., V. V. Lychagin, and A. M. Vinogradov. "Global Aspects of Differential Geometry." In Geometry I, 197–247. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-662-02712-7_8.

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Pressley, Andrew. "Global properties of curves." In Elementary Differential Geometry, 55–65. London: Springer London, 2010. http://dx.doi.org/10.1007/978-1-84882-891-9_3.

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Pressley, Andrew. "Global Properties of Curves." In Elementary Differential Geometry, 47–57. London: Springer London, 2001. http://dx.doi.org/10.1007/978-1-4471-3696-5_3.

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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.

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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.

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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.

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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.

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Conference papers on the topic "Geometry {Global differential geometry}"

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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.

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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.

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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.

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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.
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Gu, C. H., H. S. Hu, and Y. L. Xin. "Differential Geometry." In Symposium in Honor of Professor Su Buchin on His 90th Birthday. WORLD SCIENTIFIC, 1993. http://dx.doi.org/10.1142/9789814537148.

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Sameer and Pradeep Kumar Pandey. "Copper differential geometry." In ADVANCEMENTS IN MATHEMATICS AND ITS EMERGING AREAS. AIP Publishing, 2020. http://dx.doi.org/10.1063/5.0003357.

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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.

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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.
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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.

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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.
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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.

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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.
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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.

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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.
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Caddeo, R., and F. Tricerri. "DIFFERENTIAL GEOMETRY AND TOPOLOGY." In Proceedings of the Workshop. WORLD SCIENTIFIC, 1993. http://dx.doi.org/10.1142/9789814535779.

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Reports on the topic "Geometry {Global differential geometry}"

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Schmidke, W. B. Jr. Differential geometry of groups in string theory. Office of Scientific and Technical Information (OSTI), September 1990. http://dx.doi.org/10.2172/6422738.

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Zund, Joseph D., and Wayne A. Moore. Conformal Geometry, Hotine's Conjecture, and Differential Geodesy. Fort Belvoir, VA: Defense Technical Information Center, July 1987. http://dx.doi.org/10.21236/ada189265.

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More, J. J., and Zhijun Wu. Global continuation for distance geometry problems. Office of Scientific and Technical Information (OSTI), March 1995. http://dx.doi.org/10.2172/510547.

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Schupp, Peter. Quantum groups, non-commutative differential geometry and applications. Office of Scientific and Technical Information (OSTI), December 1993. http://dx.doi.org/10.2172/10148553.

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Manes, J. L. Anomalies in quantum field theory and differential geometry. Office of Scientific and Technical Information (OSTI), April 1986. http://dx.doi.org/10.2172/6982663.

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Watts, Paul. Differential geometry on Hopf algebras and quantum groups. Office of Scientific and Technical Information (OSTI), December 1994. http://dx.doi.org/10.2172/89507.

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Cook, J. M. An application of differential geometry to SSC magnet end winding. Office of Scientific and Technical Information (OSTI), April 1990. http://dx.doi.org/10.2172/7050536.

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Ludu, Andrei. Differential Geometry of Moving Surfaces and its Relation to Solitons. GIQ, 2012. http://dx.doi.org/10.7546/giq-12-2011-43-69.

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Peggs, S. Global searches in quadrupole geometry for minimum or chromaticity contribution. Office of Scientific and Technical Information (OSTI), October 1985. http://dx.doi.org/10.2172/93788.

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Bazarov, Ivan, Matthew Andorf, William Bergan, Cameron Duncan, Vardan Khachatryan, Danilo Liarte, David Rubin, and James Sethna. Innovations in optimization and control of accelerators using methods of differential geometry and genetic algorithms. Office of Scientific and Technical Information (OSTI), June 2019. http://dx.doi.org/10.2172/1530158.

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