Almost Complex and Complex Structures

Hsiung, C.C.

ISBN 10: 9810217129 / ISBN 13: 9789810217129

Published by World Scientific Publishing Co. Pte. Ltd., Singapore, 1995

About this Item

Hard cover with unclipped dust jacket, both in very good condition. From the collection of a London Professor of Mathematics, (ret'd.). Light shelfwear to dust jacket; minor creasing and rubbing. Boards in fine condition, pages tightly bound, content unmarked. CN.

Seller Inventory # 616078

Bibliographic Details

• Title: Almost Complex and Complex Structures
• Publisher: World Scientific Publishing Co. Pte. Ltd., Singapore
• Publication Date: 1995
• Language: English
• ISBN 10: 9810217129
• ISBN 13: 9789810217129
• Binding: Hardcover
• Condition: Very Good
• Dust Jacket Condition: Very Good
• Seller catalogs:
  • Mathematics/Accounting

About this title

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.