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 feat...

Ausführliche Beschreibung

Bibliographische Detailangaben

1. Verfasser:	Hsiung, Chuan-Chih 1916-2009 (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Singapore World Scientific Pub. Co. c1995
Schriftenreihe:	Series in pure mathematics v. 20
Schlagworte:	Complex manifolds Riemannian manifolds Hermitian structures Komplexe Mannigfaltigkeit Riemannscher Raum Hermitescher Raum
Online-Zugang:	FHN01 Volltext
Zusammenfassung:	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
Beschreibung:	xv, 310 p. ill
ISBN:	9789812831941