Almost Complex And Complex Structures

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  • Almost Complex And Complex Structures Book Detail

  • Author : Chuan-chih Hsiung
  • Release Date : 1995-08-31
  • Publisher : World Scientific
  • Genre : Mathematics
  • Pages : 328
  • ISBN 13 : 9814518107
  • File Size : 18,18 MB

Almost Complex And Complex Structures by Chuan-chih Hsiung PDF Summary

Book Description: 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 Kählerian 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.

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Almost Complex And Complex Structures

Almost Complex And Complex Structures

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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

Selected Papers of Chuan-Chih Hsiung

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This invaluable book contains selected papers of Prof Chuan-Chih Hsiung, renowned mathematician in differential geometry and founder and editor-in-chief of a un

Almost Complex and Complex Structures

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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

Complex Geometry

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Easily accessible Includes recent developments Assumes very little knowledge of differentiable manifolds and functional analysis Particular emphasis on topics r