| Almost Complex and Complex Structures Contributor(s): Hsiung, Chuan-Chih (Author) |
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ISBN: 9810217129 ISBN-13: 9789810217129 Publisher: World Scientific Publishing Company OUR PRICE: $112.10 Product Type: Hardcover Published: August 1995 |
| Additional Information |
| BISAC Categories: - Mathematics | Geometry - Differential |
| Dewey: 516.36 |
| LCCN: 96103642 |
| Series: Pure Mathematics |
| Physical Information: 0.84" H x 6.34" W x 9.08" (1.27 lbs) 328 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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 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. |