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 feat...

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Bibliographic Details

Main Author:	Hsiung, Chuan-Chih 1916-2009 (Author)
Format:	Electronic eBook
Language:	English
Published:	Singapore World Scientific Pub. Co. c1995
Series:	Series in pure mathematics v. 20
Subjects:	Complex manifolds Riemannian manifolds Hermitian structures Komplexe Mannigfaltigkeit Riemannscher Raum Hermitescher Raum
Online Access:	FHN01 Volltext
Summary:	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 Kahlerian 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
Physical Description:	xv, 310 p. ill
ISBN:	9789812831941