Almost complex and complex structures
著者
書誌事項
Almost complex and complex structures
（Series in pure mathematics, v. 20）
World Scientific Pub., c1995
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
- Riemannian Structures
- Almost Complex Structures
- Almost Hermitian Structures
- Real and Complex Laplacians
- Complex Structures
- Vanishing Theorems.
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