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Index and spectral theory for manifolds with generalized fibred cuspsVaillant, Boris. January 2001 (has links)
Thesis (Dr. rer. nat.)Rheinische FriedrichWilhelmsUniversität Bonn, 2001. / "11 Februar 2001." Includes bibliographical references (p. 123124).

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Some new engulfing theoremsCrary, Fred D. January 1973 (has links)
Thesis (Ph. D.)University of WisconsinMadison, 1973. / Typescript. Vita. eContent providerneutral record in process. Description based on print version record. Includes bibliographical references.

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Heegaard splittings of toroidal 3manifoldsDerbyTalbot, Ryan, January 1900 (has links) (PDF)
Thesis (Ph. D.)University of Texas at Austin, 2006. / Vita. Includes bibliographical references.

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Families of polarized abelian varieties and a construction of Kähler metrics of negative holomorphic bisectional curvature on KodairasurfacesTsui, Hoyu., 徐浩宇. January 2006 (has links)
published_or_final_version / abstract / Mathematics / Master / Master of Philosophy

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Holomorphic maps from rational homogeneous spaces onto projective manifoldsLau, Chihin., 劉智軒. January 2003 (has links)
published_or_final_version / Mathematics / Doctoral / Doctor of Philosophy

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Orbifold euler characteristic of global quotientsHsia, Kwoktung., 夏國棟. January 2010 (has links)
published_or_final_version / Mathematics / Master / Master of Philosophy

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Structured flows on manifolds: distributed functional architecturesUnknown Date (has links)
Despite the highdimensional nature of the nervous system, humans produce lowdimensional cognitive and behavioral dynamics. How highdimensional networks with complex connectivity give rise to functionally meaningful dynamics is not well understood. How does a neural network encode function? How can functional dynamics be systematically obtained from networks? There exist few frameworks in the current literature that answer these questions satisfactorily. In this dissertation I propose a general theoretical framework entitled 'Structured Flows on Manifolds' and its underlying mathematical basis. The framework is based on the principles of nonlinear dynamical systems and Synergetics and can be used to understand how highdimensional systems that exhibit multiple timescale behavior can produce lowdimensional dynamics. Lowdimensional functional dynamics arises as a result of the timescale separation of the systems component's dynamics. The lowdimensional space in which the functi onal dynamics occurs is regarded as a manifold onto which the entire systems dynamics collapses. For the duration of the function the system will stay on the manifold and evolve along the manifold. From a network perspective the manifold is viewed as the product of the interactions of the network nodes. The subsequent flows on the manifold are a result of the asymmetries of network's interactions. A distributed functional architecture based on this perspective is presented. Within this distributed functional architecture, issues related to networks such as flexibility, redundancy and robustness of the network's dynamics are addressed. Flexibility in networks is demonstrated by showing how the same network can produce different types of dynamics as a function of the asymmetrical coupling between nodes. Redundancy can be achieved by systematically creating different networks that exhibit the same dynamics. The framework is also used to systematically probe the effects of lesion / (removal of nodes) on network dynamics. It is also shown how lowdimensional functional dynamics can be obtained from firingrate neuron models by placing biologically realistic constraints on the coupling. Finally the theoretical framework is applied to real data. Using the structured flows on manifolds approach we quantify team performance and team coordination and develop objective measures of team performance based on skill level. / by Ajay S. Pillai. / Thesis (Ph.D.)Florida Atlantic University, 2008. / Includes bibliography. / Electronic reproduction. Boca Raton, FL : 2008 Mode of access: World Wide Web.

48 
A Survey on the geometry of nondegenerate CR structures.January 1991 (has links)
by Li Cheung Shing. / Thesis (M.Phil.)Chinese University of Hong Kong, 1991. / Bibliography: leaves 111115. / Introduction  p.1 / Chapter Chapter 1  "Real hypersurfaces,CR manifolds and the imbedding problem"  p.5 / Chapter § 1.1  Nonequivalence of real analytic hypersurfaces in C2  p.5 / Chapter § 1.2  The Lewy operator  p.8 / Chapter § 1.3  CR manifolds  p.19 / Chapter § 1.4  Imbedding of CR manifolds  p.24 / Chapter Chapter 2  Geometry of the real hyperquadric  p.30 / Chapter § 2.1  The real hyperquadric  p.30 / Chapter § 2.2  Qframes  p.31 / Chapter § 2.3  Maurer Cartan forms  p.33 / Chapter § 2.4  Structural equations and chains  p.36 / Chapter Chapter 3  Moser normal form  p.40 / Chapter § 3.1  Formal theory of the normal form  p.40 / Chapter § 3.2  Geometric theory of the normal form  p.48 / Chapter Chapter 4  CartanChern invariants and pseudohermitian geometry  p.67 / Chapter §4.1  Cartan's solution of the equivalence problem  p.67 / Chapter § 4.2  Chern's construction in higher dimensions  p.69 / Chapter §4.3  Webster's invariants for pseudohermitian manifolds  p.72 / Chapter § 4.4  Geometric interpretation of Webster's invariants  p.76 / Chapter § 4.5  Applications  p.80 / Chapter Chapter 5  Fefferman metric  p.86 / Chapter § 5.1  Differential geometry on the boundary  p.86 / Chapter § 5.2  Computations  p.93 / Chapter §5.3  An example of spiral chains  p.103 / References  p.111

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Witt spaces : a geometric cycle theory for KOhomology at odd primes.Siegel, Paul Howard January 1979 (has links)
Thesis (Ph.D.)Massachusetts Institute of Technology, Dept. of Mathematics, 1979. / MICROFICHE COPY AVAILABLE IN ARCHIVES AND SCIENCE. / Vita. / Bibliography: leaves 131133. / Ph.D.

50 
Analysis and geometry on strongly pseudoconvex CR manifolds.January 2004 (has links)
by Ho Chor Yin. / Thesis (M.Phil.)Chinese University of Hong Kong, 2004. / Includes bibliographical references (leaves 100103). / Abstracts in English and Chinese. / Chapter 1  Introduction  p.4 / Chapter 2  CR Manifolds and ab Complex  p.8 / Chapter 2.1  Almost Complex Structures  p.8 / Chapter 2.2  CR Structures  p.10 / Chapter 2.3  The Tangential CauchyRiemann Complex (ab Com Plex)  p.12 / Chapter 3  Subelliptic Estimates for □b  p.18 / Chapter 3.1  Preliminaries  p.18 / Chapter 3.2  Subelliptic Estimates for the Tangential CaucliyR.iemann Complex  p.34 / Chapter 3.3  Local Regularity and the Hodge Theorem for □b  p.44 / Chapter 4  Embeddability of CR manifolds  p.60 / Chapter 4.1  CR Embedding and Embeddability of Real Analytic CR Manifold  p.60 / Chapter 4.2  Boutet de Monvel's Global CR Embedding Theorem  p.62 / Chapter 4.3  Rossi's Globally Nonembeddable CR Manifold  p.69 / Chapter 4.4  Nirenberg's Locally Nonembeddable CR Manifold  p.72 / Chapter 5  Geometry of Strongly Pseudoconvex CR Manifolds  p.79 / Chapter 5.1  Equivalence Problem and Pseudoconformal Geometry  p.79 / Chapter 5.2  Pseudohermitian Geometry  p.82 / Chapter 5.3  A Geometric Approach to the Hodge Theorem for □b  p.85 / Bibliography  p.100

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