Differential Analysis on Complex Manifolds

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Sprache: Englisch

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Beschreibung

A brand new appendix by Oscar Garcia-Prada graces this third edition of a classic work. In developing the tools necessary for the study of complex manifolds, this comprehensive, well-organized treatment presents in its opening chapters a detailed survey of recent progress in four areas: geometry (manifolds with vector bundles), algebraic topology, differential geometry, and partial differential equations. Subsequent chapters then develop such topics as Hermitian exterior algebra and the Hodge *-operator. The text moves on to cover harmonic theory on compact manifolds, differential operators on a Kahler manifold, and the Hodge decomposition theorem on compact Kahler manifolds. Wells's superb analysis also gives details of the Hodge-Riemann bilinear relations on Kahler manifolds, Griffiths's period mapping, quadratic transformations, and Kodaira's vanishing and embedding theorems. Oscar Garcia-Prada's appendix gives an overview of the developments in the field during the decades sincethe book appeared.

Zusammenfassung

Inhaltsverzeichnis

* Manifolds and Vector Bundles * Sheaf Theory * Differential Geometry * Elliptic Operator Theory * Compact Complex Manifolds * Kodairäs Projective Embedding Theorem * Appendix by O. Garcia-Prada * References * Subject Index * Author Index

Erscheinungsjahr:	2010
Fachbereich:	Analysis
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Graduate Texts in Mathematics
Inhalt:	xiii 299 S.
ISBN-13:	9781441925350
ISBN-10:	144192535X
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Wells, Raymond O.
Auflage:	Third Edition 2008
Hersteller:	Springer Copernicus Springer US, New York, N.Y. Graduate Texts in Mathematics
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 18 mm
Von/Mit:	Raymond O. Wells
Erscheinungsdatum:	23.11.2010
Gewicht:	0,482 kg