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Almost Complex Structures


Almost Complex Structures
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Almost Complex And Complex Structures


Almost Complex And Complex Structures
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Author : C. C. Hsiung
language : en
Publisher: World Scientific
Release Date : 1995

Almost Complex And Complex Structures written by C. C. Hsiung and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.


This book gives a self-contained fundamental study of the subject. Besides the following special features it contains the author's detailed solution to the long-standing unsolved problem in the theory of complex manifolds: Does there exist a complex structure on the six-sphere? The special features of the book are: a classification of almost complex (and similarly, almost Hermitian) structures together with inclusion relations; discussions about various known almost Hermitian structures; a necessary and sufficient condition for a general almost Hermitian manifold to have constant holomorphic sectional (or bisectional) curvature and similar conditions for various special almost Hermitian manifolds; some complex Laplacians together with some of their relationships with the real Laplacian; the spectral geometry of Riemannian manifolds and some general almost Hermitian manifolds including K„hlerian manifolds as a special case; conditions for an almost complex structure to be a complex structure; some vanishing theorems for Riemannian and almost Hermitian manifolds.



Almost Complex Structures Proceedings Of The International Workshop


Almost Complex Structures Proceedings Of The International Workshop
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Author : Kouei Sekigawa
language : en
Publisher: World Scientific
Release Date : 1994-12-16

Almost Complex Structures Proceedings Of The International Workshop written by Kouei Sekigawa and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-12-16 with categories.


The geometry of almost complex structures is fundamentally concerned with complex analysis and also mathematical physics. In view of the increasing interest in almost complex structures, this volume will be useful in future studies of geometry and complex analysis, and related fields.



Complex Manifolds And Deformation Of Complex Structures


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.




Complex Geometry


Complex Geometry
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Author : Daniel Huybrechts
language : en
Publisher: Springer Science & Business Media
Release Date : 2005

Complex Geometry written by Daniel Huybrechts 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 2005 with Computers categories.


Easily accessible Includes recent developments Assumes very little knowledge of differentiable manifolds and functional analysis Particular emphasis on topics related to mirror symmetry (SUSY, Kaehler-Einstein metrics, Tian-Todorov lemma)



Complex Manifolds Without Potential Theory


Complex Manifolds Without Potential Theory
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Author : Shiing-shen Chern
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Complex Manifolds Without Potential Theory written by Shiing-shen Chern 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 2013-06-29 with Mathematics categories.


From the reviews of the second edition: "The new methods of complex manifold theory are very useful tools for investigations in algebraic geometry, complex function theory, differential operators and so on. The differential geometrical methods of this theory were developed essentially under the influence of Professor S.-S. Chern's works. The present book is a second edition... It can serve as an introduction to, and a survey of, this theory and is based on the author's lectures held at the University of California and at a summer seminar of the Canadian Mathematical Congress.... The text is illustrated by many examples... The book is warmly recommended to everyone interested in complex differential geometry." #Acta Scientiarum Mathematicarum, 41, 3-4#



Lectures On Symplectic Geometry


Lectures On Symplectic Geometry
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Author : Ana Cannas da Silva
language : en
Publisher: Springer
Release Date : 2004-10-27

Lectures On Symplectic Geometry written by Ana Cannas da Silva and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-27 with Mathematics categories.


The goal of these notes is to provide a fast introduction to symplectic geometry for graduate students with some knowledge of differential geometry, de Rham theory and classical Lie groups. This text addresses symplectomorphisms, local forms, contact manifolds, compatible almost complex structures, Kaehler manifolds, hamiltonian mechanics, moment maps, symplectic reduction and symplectic toric manifolds. It contains guided problems, called homework, designed to complement the exposition or extend the reader's understanding. There are by now excellent references on symplectic geometry, a subset of which is in the bibliography of this book. However, the most efficient introduction to a subject is often a short elementary treatment, and these notes attempt to serve that purpose. This text provides a taste of areas of current research and will prepare the reader to explore recent papers and extensive books on symplectic geometry where the pace is much faster. For this reprint numerous corrections and clarifications have been made, and the layout has been improved.



Structures On Manifolds


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



The Structure Of Complex Lie Groups


The Structure Of Complex Lie Groups
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Author : Dong Hoon Lee
language : en
Publisher: CRC Press
Release Date : 2001-08-31

The Structure Of Complex Lie Groups written by Dong Hoon Lee and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-08-31 with Mathematics categories.


Complex Lie groups have often been used as auxiliaries in the study of real Lie groups in areas such as differential geometry and representation theory. To date, however, no book has fully explored and developed their structural aspects. The Structure of Complex Lie Groups addresses this need. Self-contained, it begins with general concepts



J Holomorphic Curves And Symplectic Topology


J Holomorphic Curves And Symplectic Topology
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Author : Dusa McDuff
language : en
Publisher: American Mathematical Soc.
Release Date : 2012

J Holomorphic Curves And Symplectic Topology written by Dusa McDuff and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.


The main goal of this book is to establish the fundamental theorems of the subject in full and rigourous detail. In particular, the book contains complete proofs of Gromov's compactness theorem for spheres, of the gluing theorem for spheres, and of the associatively of quantum multiplication in the semipositive case. The book can also serve as an introduction to current work in symplectic topology.



Introduction To Symplectic Topology


Introduction To Symplectic Topology
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Author : Dusa McDuff
language : en
Publisher: Oxford University Press
Release Date : 2017

Introduction To Symplectic Topology written by Dusa McDuff and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Mathematics categories.


Over the last number of years powerful new methods in analysis and topology have led to the development of the modern global theory of symplectic topology, including several striking and important results. This new third edition of a classic book in the feild includes updates and new material to bring the material right up-to-date.