Structures On Manifolds

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Structures On Manifolds

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Author : Masahiro Kon
language : en
Publisher: World Scientific
Release Date : 1985-02-01

Structures On Manifolds written by Masahiro Kon and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-02-01 with categories.

Contents: Riemannian ManifoldsSubmanifolds of Riemannian ManifoldsComplex ManifoldsSubmanifolds of Kaehlerian ManifoldsContact ManifoldsSubmanifolds of Sasakian Manifoldsf-StructuresProduct ManifoldsSubmersions Readership: Mathematicians. Keywords:Riemannian Manifold;Submanifold;Complex Manifold;Contact Manifold;Kaehlerian Manifold;Sasakian Manifold;Anti-Invariant Submanifold;CR Submanifold;Contact CR Submanifold;Submersion

Structures On Manifolds

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Author : Kentarō Yano
language : en
Publisher: World Scientific Publishing Company Incorporated
Release Date : 1984

Structures On Manifolds written by Kentarō Yano and has been published by World Scientific Publishing Company Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Riemann, Variétés de categories.

Riemannian Topology And Geometric Structures On Manifolds

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Author : Krzysztof Galicki
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-07-25

Riemannian Topology And Geometric Structures On Manifolds written by Krzysztof Galicki and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-25 with Mathematics categories.

Riemannian Topology and Structures on Manifolds results from a similarly entitled conference held on the occasion of Charles P. Boyer’s 65th birthday. The various contributions to this volume discuss recent advances in the areas of positive sectional curvature, Kähler and Sasakian geometry, and their interrelation to mathematical physics, especially M and superstring theory. Focusing on these fundamental ideas, this collection presents review articles, original results, and open problems of interest.

Complex Manifolds And Deformation Of Complex Structures

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Author : K. Kodaira
language : en
Publisher: Springer Science & Business Media
Release Date : 1985-11-22

Complex Manifolds And Deformation Of Complex Structures written by K. Kodaira and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-11-22 with Mathematics categories.

Symplectic Manifolds With No Kaehler Structure

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Author : Alesky Tralle
language : en
Publisher: Springer
Release Date : 2006-11-14

Symplectic Manifolds With No Kaehler Structure written by Alesky Tralle and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.

This is a research monograph covering the majority of known results on the problem of constructing compact symplectic manifolds with no Kaehler structure with an emphasis on the use of rational homotopy theory. In recent years, some new and stimulating conjectures and problems have been formulated due to an influx of homotopical ideas. Examples include the Lupton-Oprea conjecture, the Benson-Gordon conjecture, both of which are in the spirit of some older and still unsolved problems (e.g. Thurston's conjecture and Sullivan's problem). Our explicit aim is to clarify the interrelations between certain aspects of symplectic geometry and homotopy theory in the framework of the problems mentioned above. We expect that the reader is aware of the basics of differential geometry and algebraic topology at graduate level.

Homogeneous Structures On Riemannian Manifolds

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Author : F Tricerri
language : en
Publisher:
Release Date : 2014-02-20

Homogeneous Structures On Riemannian Manifolds written by F Tricerri and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-20 with categories.

The central theme of this book is the theorem of Ambrose and Singer, which gives for a connected, complete and simply connected Riemannian manifold a necessary and sufficient condition for it to be homogeneous. This is a local condition which has to be satisfied at all points, and in this way it is a generalization of E. Cartan's method for symmetric spaces. The main aim of the authors is to use this theorem and representation theory to give a classification of homogeneous Riemannian structures on a manifold. There are eight classes, and some of these are discussed in detail. Using the constructive proof of Ambrose and Singer many examples are discussed with special attention to the natural correspondence between the homogeneous structure and the groups acting transitively and effectively as isometrics on the manifold.

Smooth Four Manifolds And Complex Surfaces

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Author : Robert Friedman
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Smooth Four Manifolds And Complex Surfaces written by Robert Friedman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.

In 1961 Smale established the generalized Poincare Conjecture in dimensions greater than or equal to 5 [129] and proceeded to prove the h-cobordism theorem [130]. This result inaugurated a major effort to classify all possible smooth and topological structures on manifolds of dimension at least 5. By the mid 1970's the main outlines of this theory were complete, and explicit answers (especially concerning simply connected manifolds) as well as general qualitative results had been obtained. As an example of such a qualitative result, a closed, simply connected manifold of dimension 2: 5 is determined up to finitely many diffeomorphism possibilities by its homotopy type and its Pontrjagin classes. There are similar results for self-diffeomorphisms, which, at least in the simply connected case, say that the group of self-diffeomorphisms of a closed manifold M of dimension at least 5 is commensurate with an arithmetic subgroup of the linear algebraic group of all automorphisms of its so-called rational minimal model which preserve the Pontrjagin classes [131]. Once the high dimensional theory was in good shape, attention shifted to the remaining, and seemingly exceptional, dimensions 3 and 4. The theory behind the results for manifolds of dimension at least 5 does not carryover to manifolds of these low dimensions, essentially because there is no longer enough room to maneuver. Thus new ideas are necessary to study manifolds of these "low" dimensions.

Differential Manifolds

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Author : Antoni A. Kosinski
language : en
Publisher: Courier Corporation
Release Date : 2013-07-02

Differential Manifolds written by Antoni A. Kosinski and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-02 with Mathematics categories.

Introductory text for advanced undergraduates and graduate students presents systematic study of the topological structure of smooth manifolds, starting with elements of theory and concluding with method of surgery. 1993 edition.

Complex Analysis And Geometry

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Author : Vincenzo Ancona
language : en
Publisher: CRC Press
Release Date : 1997-04-27

Complex Analysis And Geometry written by Vincenzo Ancona and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-04-27 with Mathematics categories.

Based on two conferences held in Trento, Italy, this volume contains 13 research papers and two survey papers on complex analysis and complex algebraic geometry. The main topics addressed by these leading researchers include: Mori theory polynomial hull vector bundles q-convexity Lie groups and actions on complex spaces hypercomplex structures pseudoconvex domains projective varieties Peer-reviewed and extensively referenced, Complex Analysis and Geometry contains recent advances and important research results. It also details several problems that remain open, the resolution of which could further advance the field.

Surgery On Contact 3 Manifolds And Stein Surfaces

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Author : Burak Ozbagci
language : en
Publisher: Springer Science & Business Media
Release Date : 2004

Surgery On Contact 3 Manifolds And Stein Surfaces written by Burak Ozbagci and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Surfaces categories.

This book is about an investigation of recent developments in the field of sympletic and contact structures on four and three dimensional manifolds, respectively, from a topologist's point of view. The level of the book is appropriate for advanced graduate students.