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.
"synopsis" may belong to another edition of this title.
Synopsis
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.
"About this title" may belong to another edition of this title.
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Almost Complex and Complex Structures
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World Scientific Publishing Co. Pte. Ltd., Singapore, 1995
ISBN 10: 9810217129
ISBN 13: 9789810217129
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Hardcover
Seller: PsychoBabel & Skoob Books, Didcot, United Kingdom
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Hardcover. Condition: Very Good. Dust Jacket Condition: Very Good. 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
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Almost Complex and Complex Structures (Series in Pure Mathematics, Band 20)
Seller: Antiquariat Bernhardt, Kassel, Germany
Seller rating 5 out of 5 stars
Karton Karton. Condition: Sehr gut. 310 Seiten, mit Abbildungen; Zust: Gutes Exemplar. Mit original Schutzumschlag. Schneller Versand und persönlicher Service - jedes Buch händisch geprüft und beschrieben - aus unserem Familienbetrieb seit über 25 Jahren. Eine Rechnung mit ausgewiesener Mehrwertsteuer liegt jeder unserer Lieferungen bei. Wir versenden mit der deutschen Post. Sprache: Englisch Gewicht in Gramm: 576. Seller Inventory # 360477