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Almost Complex and Complex Structures

C. C. Hsiung

出版	World Scientific, 1995
主題	Mathematics / Geometry / AnalyticMathematics / Geometry / Differential
ISBN	98102171299789810217129
URL	http://books.google.com.hk/books?id=-yz03cskUOgC&hl=&source=gbs_api
EBook	SAMPLE

註釋

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.