Almost Complex And Complex Structures
Seiten
1995
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-1712-9 (ISBN)
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-1712-9 (ISBN)
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A study of the subject including the following special features: a classification of almost complex (and similarly, almost Hermitian) structures together with inclusion relations; and some complex Laplacians together with some of their relationships with the real Laplacian.
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.
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.
Riemannian Structures; Almost Complex Structures; Almost Hermitian Structures; Real and Complex Laplacians; Complex Structures; Vanishing Theorems.
| Erscheint lt. Verlag | 1.8.1995 |
|---|---|
| Reihe/Serie | Series In Pure Mathematics ; 20 |
| Verlagsort | Singapore |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| ISBN-10 | 981-02-1712-9 / 9810217129 |
| ISBN-13 | 978-981-02-1712-9 / 9789810217129 |
| Zustand | Neuware |
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