Almost Complex and Complex Structures (Series in Pure Mathematics, Band 20) - Hardcover

Hsiung, C. C.

Hardcover

ISBN 10: 9810217129 ISBN 13: 9789810217129

Verlag: World Scientific Publishing Co Pte Ltd, 1995

Inhaltsangabe

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.

Details zur Ausgabe

• Verlag: World Scientific Publishing Co Pte Ltd
• Erscheinungsdatum: 1995
• Sprache: Englisch
• ISBN 10: 9810217129
• ISBN 13: 9789810217129
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 310
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar