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Dissertations / Theses on the topic 'Riemannian manifolds'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Erb, Wolfgang. "Uncertainty principles on Riemannian manifolds." kostenfrei, 2010. https://mediatum2.ub.tum.de/node?id=976465.

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2

Dunn, Corey. "Curvature homogeneous pseudo-Riemannian manifolds /." view abstract or download file of text, 2006. http://proquest.umi.com/pqdweb?did=1188874491&sid=3&Fmt=2&clientId=11238&RQT=309&VName=PQD.

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Thesis (Ph. D.)--University of Oregon, 2006.<br>Typescript. Includes vita and abstract. Includes bibliographical references (leaves 146-147). Also available for download via the World Wide Web; free to University of Oregon users.

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3

Longa, Eduardo Rosinato. "Hypersurfaces of paralellisable Riemannian manifolds." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2017. http://hdl.handle.net/10183/158755.

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Introduzimos uma aplicação de Gauss para hipersuperfícies de variedades Riemannianas paralelizáveis e definimos uma curvatura associada. Após, provamos um teorema de Gauss-Bonnet. Como exemplo, estudamos cuidadosamente o caso no qual o espaço ambiente é uma esfera Euclidiana menos um ponto e obtemos um teorema de rigidez topológica. Ele é utilizado para dar uma prova alternativa para um teorema de Qiaoling Wang and Changyu Xia, o qual afirma que se uma hipersuperfície orientável imersa na esfera está contida em um hemisfério aberto e tem curvatura de Gauss-Kronecker nãonula então ela é difeomo

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4

Catalano, Domenico Antonino. "Concircular diffeomorphisms of pseudo-Riemannian manifolds /." [S.l.] : [s.n.], 1999. http://e-collection.ethbib.ethz.ch/show?type=diss&nr=13064.

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5

Afsari, Bijan. "Means and averaging on riemannian manifolds." College Park, Md. : University of Maryland, 2009. http://hdl.handle.net/1903/9978.

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Thesis (Ph.D.) -- University of Maryland, College Park, 2009.<br>Thesis research directed by: Dept. of Mathematics. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.

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6

Popiel, Tomasz. "Geometrically-defined curves in Riemannian manifolds." University of Western Australia. School of Mathematics and Statistics, 2007. http://theses.library.uwa.edu.au/adt-WU2007.0119.

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[Truncated abstract] This thesis is concerned with geometrically-defined curves that can be used for interpolation in Riemannian or, more generally, semi-Riemannian manifolds. As in much of the existing literature on such curves, emphasis is placed on manifolds which are important in computer graphics and engineering applications, namely the unit 3-sphere S3 and the closely related rotation group SO(3), as well as other Lie groups and spheres of arbitrary dimension. All geometrically-defined curves investigated in the thesis are either higher order variational curves, namely critical points o

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7

Desa, Zul Kepli Bin Mohd. "Riemannian manifolds with Einstein-like metrics." Thesis, Durham University, 1985. http://etheses.dur.ac.uk/7571/.

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In this thesis, we investigate properties of manifolds with Riemannian metrics which satisfy conditions more general than those of Einstein metrics, including the latter as special cases. The Einstein condition is well known for being the Euler- Lagrange equation of a variational problem. There is not a great deal of difference between such metrics and metrics with Ricci tensor parallel for the latter are locally Riemannian products of the former. More general classes of metrics considered include Ricci- Codazzi and Ricci cyclic parallel. Both of these are of constant scalar curvature. Our stu

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8

Parmar, Vijay K. "Harmonic morphisms between semi-Riemannian manifolds." Thesis, University of Leeds, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.305696.

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9

Dahmani, Kamilia. "Weighted LP estimates on Riemannian manifolds." Thesis, Toulouse 3, 2018. http://www.theses.fr/2018TOU30188/document.

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Cette thèse s'inscrit dans le domaine de l'analyse harmonique et plus exactement, des estimations à poids. Un intérêt particulier est porté aux estimations Lp à poids des transformées de Riesz sur des variétés Riemanniennes complètes ainsi qu'à l'optimalité des résultats en terme de la puissance de la caractéristique des poids. On obtient un premier résultat (en terme de la linéarité et de la non dépendance de la dimension) sur des espaces pas nécessairement de type homogène, lorsque p = 2 et la courbure de Bakry-Emery est positive. On utilise pour cela une approche analytique en exhibant une

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10

Ndiaye, Cheikh Birahim. "Geometric PDEs on compact Riemannian manifolds." Doctoral thesis, SISSA, 2007. http://hdl.handle.net/20.500.11767/4088.

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In this thesis, some nonlinear problems coming from conformal geometry and physics, namely the prescription of Q-curvature, T-curvature ones and the generalized 2×2 Toda system are studied. We study also the existence of extremal functions of two Moser-Trudinger type inequalities (which is a common feature of those problems) due to Fontana[40] and Chang-Yang[23].

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11

ZEESTRATEN, MARTINUS. "Programming by Demonstration on Riemannian Manifolds." Doctoral thesis, Università degli studi di Genova, 2018. http://hdl.handle.net/11567/930621.

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This thesis presents a Riemannian approach to Programming by Demonstration (PbD). It generalizes an existing PbD method from Euclidean manifolds to Riemannian manifolds. In this abstract, we review the objectives, methods and contributions of the presented approach. OBJECTIVES PbD aims at providing a user-friendly method for skill transfer between human and robot. It enables a user to teach a robot new tasks using few demonstrations. In order to surpass simple record-and-replay, methods for PbD need to ‘understand’ what to imitate; they need to extract the functional goals of a task fr

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12

Finkelstein, Shlomit Ritz. "Gravity in hyperspin manifolds." Diss., Georgia Institute of Technology, 1987. http://hdl.handle.net/1853/27974.

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13

Lu, Zhuoran. "Properties of Soft Maps on Riemannian Manifolds." Thesis, New York University, 2017. http://pqdtopen.proquest.com/#viewpdf?dispub=10617234.

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<p> This paper concerns the soft map <i>f</i> from a Riemannian manifold to a probability space that minimizes the Dirichlet energy. First we give the explicit formula from any Riemannian manifold <i>M</i> to <i>Prob</i>(<b>R</b>). Secondly we discuss the map from <i> M</i> to <i>Prob</i>(<b>R</b><i><sup>d</sup></i>), prove the classic boundary condition implies classic solution. Then we proceed to the map from <i>M</i> to <i>Prob</i>(<i>N</i>), where <i>N</i> is a Riemannian manifold, and shows that if <i> N</i> is non-positive curvature, simply-connected, <i>f</i> has classic boundary condit

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14

Kangaslampi, Riikka. "Uniformly quasiregular mappings on elliptic riemannian manifolds /." Helsinki : Suomalainen Tiedeakat, 2008. http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&doc_number=018603114&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA.

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15

Friswell, Robert Michael. "Harmonic vector fields on pseudo-Riemannian manifolds." Thesis, University of York, 2014. http://etheses.whiterose.ac.uk/7878/.

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This thesis generalises the theory of harmonic vector fields to the non-compact pseudo- Riemannian case. After introducing the required background theory we consider the first variation of the local energies to find the Euler-Lagrange equations for this new case. We then introduce a natural closed conformal gradient field on pseudo-Riemannian warped products and find the Euler-Lagrange equations for harmonic closed conformal vector fields of this sort. We then give examples of such harmonic closed conformal fields, this leads to a harmonic vector fields on a 2-sphere with a rotationally symmet

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16

Lord, Steven. "Riemannian non-commutative geometry /." Title page, abstract and table of contents only, 2002. http://web4.library.adelaide.edu.au/theses/09PH/09phl8661.pdf.

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17

Garcia-Leon, Joel. "Cheeger constant and isoperimetric inequalities on Riemannian manifolds." Thesis, Imperial College London, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.417041.

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18

Alcantara, Priscila Rodrigues de. "Hypersurfaces with prescribed mean curvature in Riemannian manifolds." Universidade Federal do CearÃ, 2010. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=5278.

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CoordenaÃÃo de AperfeiÃoamento de Pessoal de NÃvel Superior<br>This work shows results existence and uniqueness of graphs with prescribed mean curvature. We demonstrate that a natural fixation Dirichlet problem for graphs of average curvature is required to consider those graphs like leaves on a Riemannian submersion Killing transversal cylinder, the cylinder given by flow lines of a Killing vector field. Using this approach, we are able to solve the problem in a way more comprehensive, giving a unified proof and existence results.<br>O objetivo deste trabalho Ã exibir resultados de existÃncia

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19

Barrett, Dennis Ian. "Contributions to the study of nonholonomic Riemannian manifolds." Thesis, Rhodes University, 2017. http://hdl.handle.net/10962/7554.

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20

Menegaz, Henrique Marra Taira. "Unscented kalman filtering on euclidean and riemannian manifolds." reponame:Repositório Institucional da UnB, 2016. http://repositorio.unb.br/handle/10482/21617.

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Tese (doutorado)—Universidade de Brasília, Faculdade de Tecnologia, Departamento de Engenharia Elétrica, 2016.<br>Submitted by Fernanda Percia França (fernandafranca@bce.unb.br) on 2016-08-08T20:08:43Z No. of bitstreams: 1 2016_HenriqueMarraTairaMenegaz.pdf: 4698576 bytes, checksum: 0e95622bdc8a0e9ab76ddd058427d256 (MD5)<br>Approved for entry into archive by Raquel Viana(raquelviana@bce.unb.br) on 2016-10-24T13:56:05Z (GMT) No. of bitstreams: 1 2016_HenriqueMarraTairaMenegaz.pdf: 4698576 bytes, checksum: 0e95622bdc8a0e9ab76ddd058427d256 (MD5)<br>Made available in DSpace on 2016-10-24T13:56:05

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21

VALTORTA, DANIELE. "ON THE P-LAPLACE OPERATOR ON RIEMANNIAN MANIFOLDS." Doctoral thesis, Università degli Studi di Milano, 2013. http://hdl.handle.net/2434/217559.

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This thesis covers different aspects of the p-Laplace operators on Riemannian manifolds. Chapter 2. Potential theoretic aspects: the Khasmkinskii condition. Chapter 3: sharp eigenvalue estimates with Ricci curvature lower bounds. Chapter 4: Critical sets of (2-)harmonic functions.

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22

TENCONI, MARINA. "Localization for Riesz Means on compact Riemannian manifolds." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2016. http://hdl.handle.net/10281/101979.

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This thesis deals with the problem of localization for the Riesz means for eigenfunction expansions of the Laplace-Beltrami operator. The classical Riemann localization principle states that if an integrable function of one variable vanishes in an open set, then its trigonometric Fourier expansion converges to zero in this set. This localization principle fails in R^d with d>=2. In order to recover localization one has to use suitable summability methods, such as the Bochner-Riesz means. In the first chapter of the thesis we focus on the compact rank one symmetric spaces case. While in the sec

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23

Wu, Dongjun. "Contraction Analysis of Nonlinear Systems on Riemannian Manifolds." Electronic Thesis or Diss., université Paris-Saclay, 2022. http://www.theses.fr/2022UPAST037.

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La stabilité des points d'équilibre des systèmes non linéaires est l'un des problèmes centraux de la théorie du contrôle non linéaire et de ses applications. L'analyse de stabilité se résume souvent à la recherche d'une fonction de Lyapunov candidate qui dissipe de manière adéquate le long des solutions du système. Les deux dernières décennies ont vu un besoin croissant d'aller au-delà de la stabilité d'un équilibre, en imposant que deux solutions d'un système finissent par converger l'une vers l'autre. Une telle version incrémentale de la stabilité de Lyapunov (contraction) s'avère en effet u

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24

Peng, Xiao-Wei. "Kollaps Riemannscher Mannigfaltigkeiten." Bonn : [s.n.], 1988. http://catalog.hathitrust.org/api/volumes/oclc/18440158.html.

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25

Taringoo, Farzin. "Control and optimization of hybrid systems on Riemannian manifolds." Thesis, McGill University, 2013. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=114351.

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The fundamental motivation for the work in this thesis is the analysis of the optimal control of hybrid systems on Riemannian manifolds using the language of differential geometry. Hybrid systems theory constitutes one of the major frameworks within which one may model and analyze the behaviour of large and complex systems; in particular, the optimal control of hybrid systems has been a focus of research over the last decades resulting in the important generalization of Minimum (Maximum) Principle of classic optimal control to hybrid systems. In the work of Shaikh and Caines (2007) and their

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26

CHIRA, JOSE LUIS LIZARBE. "ASYMPTOTIC LINKING INVARIANTS FOR RKACTIONS IN COMPACT RIEMANNIAN MANIFOLDS." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2005. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=7761@1.

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CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO<br>Arnold no seu trabalho The asymptotic Hopf Invariant and its applications de 1986, considerou sobre um domínio (ômega maiúsculo) compacto de R3 com bordo suave e homología trivial campos X e Y de divergência nula e tangentes ao bordo de (ômega maiúsculo) e definiu o índice de enlaçamento assintótico lk(X; Y ) e o invariante de Hopf associados a X e Y pela integral I(X; Y ) = (integral em ômega maiúsculo de alfa produto d- beta), onde (d-alfa) = iX-vol e (d-beta) = iy-vol, e mostrou que I(X; Y ) = lk(X; Y ). Agora, no pre

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27

Martins, Tiberio Bittencourt de Oliveira. "Newton's methods under the majorant principle on Riemannian manifolds." Universidade Federal de Goiás, 2015. http://repositorio.bc.ufg.br/tede/handle/tede/4847.

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Submitted by Cláudia Bueno (claudiamoura18@gmail.com) on 2015-10-29T19:04:41Z No. of bitstreams: 2 Tese - Tiberio Bittencourt de Oliveira Martins.pdf: 1155588 bytes, checksum: add1eac74c4397efc29678341b834448 (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5)<br>Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2015-11-03T14:25:04Z (GMT) No. of bitstreams: 2 Tese - Tiberio Bittencourt de Oliveira Martins.pdf: 1155588 bytes, checksum: add1eac74c4397efc29678341b834448 (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b8630

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28

Sathaye, Bakul Sathaye. "Obstructions to Riemannian smoothings of locally CAT(0) manifolds." The Ohio State University, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=osu1531416481628579.

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29

Ndumu, Martin Ngu. "Brownian motion and the heat kernel on Riemannian manifolds." Thesis, University of Warwick, 1989. http://wrap.warwick.ac.uk/108565/.

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30

Onodera, Mitsuko. "Study of rigidity problems for C2[pi]-manifolds." Sendai : Tohoku Univ, 2006. http://www.gbv.de/dms/goettingen/52860726X.pdf.

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31

Osipova, Daria. "Symmetric submanifolds in symmetric spaces." Thesis, University of Hull, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.342976.

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32

D'Azevedo, Breda A. M. R. "Isometric foldings." Thesis, University of Southampton, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.235197.

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33

Bär, Christian, and Frank Pfäffle. "Wiener measures on Riemannian manifolds and the Feynman-Kac formula." Universität Potsdam, 2012. http://opus.kobv.de/ubp/volltexte/2012/5999/.

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This is an introduction to Wiener measure and the Feynman-Kac formula on general Riemannian manifolds for Riemannian geometers with little or no background in stochastics. We explain the construction of Wiener measure based on the heat kernel in full detail and we prove the Feynman-Kac formula for Schrödinger operators with bounded potentials. We also consider normal Riemannian coverings and show that projecting and lifting of paths are inverse operations which respect the Wiener measure.

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34

Zergänge, Norman [Verfasser]. "Convergence of Riemannian manifolds with critical curvature bounds / Norman Zergänge." Magdeburg : Universitätsbibliothek, 2017. http://d-nb.info/1141230488/34.

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35

Emmerich, Patrick [Verfasser]. "Rigidity of Complete Riemannian Manifolds without Conjugate Points / Patrick Emmerich." Aachen : Shaker, 2013. http://d-nb.info/1049384369/34.

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36

Miker, Julie. "Eigenvalue Inequalities for a Family of Spherically Symmetric Riemannian Manifolds." UKnowledge, 2009. http://uknowledge.uky.edu/gradschool_diss/783.

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This thesis considers two isoperimetric inequalities for the eigenvalues of the Laplacian on a family of spherically symmetric Riemannian manifolds. The Payne-Pólya-Weinberger Conjecture (PPW) states that for a bounded domain Ω in Euclidean space Rn, the ratio λ1(Ω)/λ0(Ω) of the first two eigenvalues of the Dirichlet Laplacian is bounded by the corresponding eigenvalue ratio for the Dirichlet Laplacian on the ball BΩof equal volume. The Szegö-Weinberger inequality states that for a bounded domain Ω in Euclidean space Rn, the first nonzero eigenvalue of the Neumann Laplacian μ1(Ω) is maximized

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37

Whiting, James K. (James Kalani) 1980. "Path optimization using sub-Riemannian manifolds with applications to astrodynamics." Thesis, Massachusetts Institute of Technology, 2011. http://hdl.handle.net/1721.1/63035.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 2011.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (p. 131).<br>Differential geometry provides mechanisms for finding shortest paths in metric spaces. This work describes a procedure for creating a metric space from a path optimization problem description so that the formalism of differential geometry can be applied to find the optimal paths. Most path optimization problems will generate a sub-Riemannian manifold. This work describes an algorithm which approximates

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38

Stenzel, Matthew B. (Matthew Briggs). "Kähler structures on cotangent bundles of real analytic Riemannian manifolds." Thesis, Massachusetts Institute of Technology, 1990. http://hdl.handle.net/1721.1/49577.

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39

Ream, Robert. "Darboux Intergrability Of Wave Maps Into 2-Dimensional Riemannian Manifolds." DigitalCommons@USU, 2008. https://digitalcommons.usu.edu/etd/203.

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The harmonic map equations can be represented geometrically as an exterior differential system (EDS), E. Using this representation we study the harmonic maps from 2D Minkowski space into 2D Riemannian manifolds. These are also known as wave maps. In this case, E is invariant under conformal transformations of Minkowski space. The quotient of E by these conformal transformations, E/G, is an s=0 hyperbolic system. The main result of our study is that the prolonged EDS, E(k), is Darboux integrable if and only if the prolonged quotient EDS, E/G(k+1), is Darboux integrable. We also find invariants

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40

Botros, Amir A. "GEODESICS IN LORENTZIAN MANIFOLDS." CSUSB ScholarWorks, 2016. https://scholarworks.lib.csusb.edu/etd/275.

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We present an extension of Geodesics in Lorentzian Manifolds (Semi-Riemannian Manifolds or pseudo-Riemannian Manifolds ). A geodesic on a Riemannian manifold is, locally, a length minimizing curve. On the other hand, geodesics in Lorentzian manifolds can be viewed as a distance between ``events''. They are no longer distance minimizing (instead, some are distance maximizing) and our goal is to illustrate over what time parameter geodesics in Lorentzian manifolds are defined. If all geodesics in timelike or spacelike or lightlike are defined for infinite time, then the manifold is called ``geod

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41

Raske, David Timothy. "Q-curvature on closed Riemannian manifolds of dimension greater than four /." Diss., Digital Dissertations Database. Restricted to UC campuses, 2005. http://uclibs.org/PID/11984.

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42

Franke, Dirk Christoph. "Quasiregular mappings and Hölder continuity of differential forms on Riemannian manifolds." [S.l. : s.n.], 1999. http://www.diss.fu-berlin.de/1999/57/index.html.

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43

Fonn, Eivind. "Computing Metrics on Riemannian Shape Manifolds : Geometric shape analysis made practical." Thesis, Norwegian University of Science and Technology, Department of Mathematical Sciences, 2009. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-9868.

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<p>Shape analysis and recognition is a field ripe with creative solutions and innovative algorithms. We give a quick introduction to several different approaches, before basing our work on a representation introduced by Klassen et. al., considering shapes as equivalence classes of closed curves in the plane under reparametrization, and invariant under translation, rotation and scaling. We extend this to a definition for nonclosed curves, and prove a number of results, mostly concerning under which conditions on these curves the set of shapes become manifolds. We then motivate the study of geod

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44

Tashiro, Kenshiro. "Gromov-Hausdorff limits of compact Heisenberg manifolds with sub-Riemannian metrics." Doctoral thesis, Kyoto University, 2021. http://hdl.handle.net/2433/263433.

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45

Renesse, Max-K. von. "Comparison properties of diffusion semigroups on spaces with lower curvature bounds." Bonn : Mathematisches Institut der Universität Bonn, 2003. http://catalog.hathitrust.org/api/volumes/oclc/52348149.html.

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46

Zuddas, Daniele. "Branched coverings and 4-manifolds." Doctoral thesis, Scuola Normale Superiore, 2007. http://hdl.handle.net/11384/85677.

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47

Schüth, Dorothee. "Stetige isospektrale Deformationen." Bonn : [s.n.], 1994. http://catalog.hathitrust.org/api/volumes/oclc/31760957.html.

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48

Bär, Christian. "Das Spektrum von Dirac-Operatoren." Bonn : [s.n.], 1991. http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&doc_number=003506032&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA.

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49

von, Deylen Stefan Wilhelm [Verfasser]. "Numerical Approximation in Riemannian Manifolds by Karcher Means / Stefan Wilhelm von Deylen." Berlin : Freie Universität Berlin, 2015. http://d-nb.info/1066645108/34.

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50

Weber, Patrick. "Cohomology groups on hypercomplex manifolds and Seiberg-Witten equations on Riemannian foliations." Doctoral thesis, Universite Libre de Bruxelles, 2017. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/252914.

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The thesis comprises two parts. In the first part, we investigate various cohomological aspects of hypercomplex manifolds and analyse the existence of special metrics. In the second part, we define Seiberg-Witten equations on the leaf space of manifolds which admit a Riemannian foliation of codimension four.<br>Doctorat en Sciences<br>info:eu-repo/semantics/nonPublished

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