Almost Complex And Complex Structures: 20 (Series In Pure Mathematics) - Tapa dura

Hsiung, Chuan-chih

 
9789810217129: Almost Complex And Complex Structures: 20 (Series In Pure Mathematics)
Tapa dura
ISBN 10: 9810217129 ISBN 13: 9789810217129
Editorial: World Scientific Publishing Co Pte Ltd, 1995

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

Reseña del editor

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.

Reseña del editor

This book gives a fundamental study of the subject including the following special features: 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 some general almost Hermitian manifolds including Kahiehan manifold as a special case; conditions for an almost complex structure to be a complex structure; some vanishing theorems for Riemannian and almost Hermitian manifolds.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
World Scientific Publishing Co Pte Ltd
Año de publicación
1995
Idioma
Inglés
ISBN 10 
9810217129
ISBN 13 
9789810217129
Encuadernación
Tapa dura
Número de páginas
328
Contacto del fabricante
no disponible
Persona responsable
no disponible