Almost Complex and Complex Structures - Couverture rigide

Hsiung, Chuan-chih

Couverture rigide

ISBN 10 : 9810217129 ISBN 13 : 9789810217129

Editeur : World Scientific Publishing Co Pte Ltd, 1995

Synopsis

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.

Détails de l'édition

• Éditeur: World Scientific Publishing Co Pte Ltd
• Date d'édition: 1995
• Langue: anglais
• ISBN 10: 9810217129
• ISBN 13: 9789810217129
• Reliure: Relié
• Nombre de pages: 328
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible