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Higher order differential geometry and some related questions /Fredricks, Gregory Alan. January 1976 (has links)
Thesis (Ph. D.)--Oregon State University, 1976. / Typescript (photocopy). Includes bibliographical references. Also available on the World Wide Web.
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Differentiable FunctionsMcCool, Kenneth B. 06 1900 (has links)
The primary purpose of this thesis is to carefully develop and prove some of the fundamental, classical theorems of the differential calculus for functions of two real variables.
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Nonsmooth optimization with constraints.January 1987 (has links)
by Chow Wai Chuen. / Thesis (M.Ph.)--Chinese University of Hong Kong, 1987. / Bibliography: leaves 66-67.
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Some new results for the Ricci flow equation. / CUHK electronic theses & dissertations collectionJanuary 1999 (has links)
by Shu-yu Hsu. / "July 1999." / Thesis (Ph.D.)--Chinese University of Hong Kong, 1999. / Includes bibliographical references (p. 40-42). / Electronic reproduction. Hong Kong : Chinese University of Hong Kong, [2012] System requirements: Adobe Acrobat Reader. Available via World Wide Web. / Mode of access: World Wide Web. / Abstracts in English and Chinese.
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Uniqueness theorem of the mean curvature flow. / CUHK electronic theses & dissertations collectionJanuary 2007 (has links)
Mean curvature flow evolves isometrically immersed base Riemannian manifolds M in the direction of their mean curvature in an ambient manifold M. We consider the classical solutions to the mean curvature flow. If the base manifold M is compact, the short time existence and uniqueness of the mean curvature flow are well-known. For complete noncompact isometrically immersed hypersurfaces M (uniformly local lipschitz) in Euclidean space, the short time existence was established by Ecker and Huisken in [10]. The short time existence and the uniqueness of the solutions to the mean curvature flow of complete isometrically immersed manifolds of arbitrary codimensions in the Euclidean space are still open questions. In this thesis, we solve the uniqueness problem affirmatively for the mean curvature flow of general codimensions and general ambient manifolds. More precisely, let (M, g) be a complete Riemannian manifold of dimension n such that the curvature and its covariant derivatives up to order 2 are bounded and the injectivity radius is bounded from below by a positive constant, we prove that the solution of the mean curvature flow with bounded second fundamental form on an isometrically immersed manifold M (may be of high codimension) is unique. In the second part of the thesis, inspired by the Ricci flow, we prove the pseudolocality theorem of mean curvature flow. As a consequence, we obtain the strong uniqueness theorem, which removes the boundedness assumption of the second fundamental form of the solution in the uniqueness theorem (only assume the second fundamental form of the initial submanifold is bounded). / Yin, Le. / "July 2007." / Adviser: Leung Nai-Chung. / Source: Dissertation Abstracts International, Volume: 69-01, Section: B, page: 0357. / Thesis (Ph.D.)--Chinese University of Hong Kong, 2007. / Includes bibliographical references (p. 65-68). / Electronic reproduction. Hong Kong : Chinese University of Hong Kong, [2012] System requirements: Adobe Acrobat Reader. Available via World Wide Web. / Electronic reproduction. [Ann Arbor, MI] : ProQuest Information and Learning, [200-] System requirements: Adobe Acrobat Reader. Available via World Wide Web. / Abstracts in English and Chinese. / School code: 1307.
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Some aspects of the geometry of Poisson dynamical systemsNarayanan, Vivek. January 2001 (has links)
Thesis (Ph. D.)--University of Texas at Austin, 2001. / Vita. Includes bibliographical references. Available also from UMI/Dissertation Abstracts International.
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Einige Eigenschaften der kritischen Menge und der Diskriminante verseller Deformationen vollständiger Durchschnitte mit isolierter SingularitätVohmann, Horst Dieter, January 1974 (has links)
Thesis--Bonn. / Vita. Includes bibliographical references (p. 91-94).
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Einige Eigenschaften der kritischen Menge und der Diskriminante verseller Deformationen vollständiger Durchschnitte mit isolierter SingularitätVohmann, Horst Dieter, January 1974 (has links)
Thesis--Bonn. / Vita. Includes bibliographical references (p. 91-94).
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Triangular billiards surfaces and translation covers /Schmurr, Jason Peter. January 1900 (has links)
Thesis (Ph. D.)--Oregon State University, 2009. / Printout. Includes bibliographical references (leaves 63-64). Also available on the World Wide Web.
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Sufficient Criteria for Total Differentiability of a Real Valued Function of a Complex Variable in Rn an Extension of H. Rademacher's Result for R²Matovsky, Veron Rodieck 08 1900 (has links)
This thesis provides sufficient conditions for total differentiability
almost everywhere of a real-valued function of
a complex variable defined on a bounded region in IRn. This
thesis extends H. Rademacher's 1918 results in IR2 which culminated
in total differentiability, to IRn
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