differential analysis on complex manifolds - Couverture rigide

Wells, Raymond-O Jr

Couverture rigide

ISBN 10 : 0387738916 ISBN 13 : 9780387738918

Editeur : Springer-Verlag New York Inc., 2007

Synopsis

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.

A propos du livre

Présentation de l'éditeur

A brand new appendix by Oscar Garcia-Prada graces this third edition of a classic work. This comprehensive, well-organized treatment is a concise introduction to the basics of analysis and geometry on compact complex manifolds.

Détails de l'édition

• Éditeur: Springer-Verlag New York Inc.
• Date d'édition: 2007
• Langue: anglais
• ISBN 10: 0387738916
• ISBN 13: 9780387738918
• Reliure: Relié
• Numéro d'édition: 3
• Nombre de pages: 312
• Coordonnées du fabricant: non disponible
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