Spelling suggestions: "subject:"riemannian manifold""
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The Einstein Field Equations : on semi-Riemannian manifolds, and the Schwarzschild solutionLeijon, Rasmus January 2012 (has links)
Semi-Riemannian manifolds is a subject popular in physics, with applications particularly to modern gravitational theory and electrodynamics. Semi-Riemannian geometry is a branch of differential geometry, similar to Riemannian geometry. In fact, Riemannian geometry is a special case of semi-Riemannian geometry where the scalar product of nonzero vectors is only allowed to be positive. This essay approaches the subject from a mathematical perspective, proving some of the main theorems of semi-Riemannian geometry such as the existence and uniqueness of the covariant derivative of Levi-Civita connection, and some properties of the curvature tensor. Finally, this essay aims to deal with the physical applications of semi-Riemannian geometry. In it, two key theorems are proven - the equivalenceof the Einstein field equations, the foundation of modern gravitational physics, and the Schwarzschild solution to the Einstein field equations. Examples of applications of these theorems are presented.
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Intrinsic characterization of asymptotically hyperbolic metrics /Bahuaud, Eric. January 2007 (has links)
Thesis (Ph. D.)--University of Washington, 2007. / Vita. Includes bibliographical references (p. 42).
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A support theorem and an inversion formula for the geodesic ray transform /Krishnan, Venkateswaran P., January 2007 (has links)
Thesis (Ph. D.)--University of Washington, 2007. / Vita. Includes bibliographical references (p. 51-56).
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On holomorphic isometric embeddings from the unit disk into polydisks and their generalizationsNg, Sui-chung. January 2008 (has links)
Thesis (Ph. D.)--University of Hong Kong, 2009. / Includes bibliographical references (leaves 53-54) Also available in print.
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The noncommutative geometry of ultrametric cantor setsPearson, John Clifford January 2008 (has links)
Thesis (Ph.D.)--Mathematics, Georgia Institute of Technology, 2008. / Committee Chair: Bellissard, Jean; Committee Member: Baker, Matt; Committee Member: Bakhtin, Yuri; Committee Member: Garoufalidis, Stavros; Committee Member: Putnam, Ian
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Analysis of conjugate heat equation on complete non-compact Riemannian manifolds under Ricci flowKuang, Shilong, January 2009 (has links)
Thesis (Ph. D.)--University of California, Riverside, 2009. / Includes abstract. Includes bibliographical references (leaves 74-76). Issued in print and online. Available via ProQuest Digital Dissertations.
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Regularity of ghosts of geodesic X-ray transform /Skokan, Michal. January 2004 (has links)
Thesis (Ph. D.)--University of Washington, 2004. / Vita. Includes bibliographical references (p. 61-63).
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Robust statistics over Riemannian manifolds for computer visionSubbarao, Raghav. January 2008 (has links)
Thesis (Ph. D.)--Rutgers University, 2008. / "Graduate Program in Electrical and Computer Engineering." Includes bibliographical references (p. 137-144).
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Ricci Yang-Mills FlowStreets, Jeffrey D., January 2007 (has links)
Thesis (Ph. D.)--Duke University, 2007. / Includes bibliographical references.
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Das Spektrum von Dirac-OperatorenBär, Christian. January 1991 (has links)
Thesis (Doctoral)--Universität Bonn, 1990. / Includes bibliographical references.
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