Oscar Garcia-Prada; Raymond O. Wells Differential Analysis on Complex Manifolds 9781441925350

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Автор: Oscar Garcia-Prada; Raymond O. Wells
Название: Differential Analysis on Complex Manifolds
ISBN: 9781441925350
Издательство: Springer
Классификация:

Основы высшей математики и математический анализ

ISBN-10: 144192535X
Обложка/Формат: Paperback
Страницы: 299
Вес: 0.44 кг.
Дата издания: 23.11.2010
Серия: Graduate Texts in Mathematics
Язык: English
Размер: 234 x 156 x 17
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание:

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, harmonic theory on compact manifolds, differential operators on a Kahler manifold, the Hodge decomposition theorem on compact Kahler manifolds, the Hodge-Riemann bilinear relations on Kahler manifolds, Griffithss period mapping, quadratic transformations, and Kodairas vanishing and embedding theorems.

The third edition of this standard reference contains a new appendix by Oscar Garcia-Prada which gives an overview of the developments in the field during the decades since the book appeared.

From a review of the 2nd Edition:

..the new edition of Professor Wells book is timely and welcome...an excellent introduction for any mathematician who suspects that complex manifold techniques may be relevant to his work.

- Nigel Hitchin, Bulletin of the London Mathematical Society

Its purpose is to present the basics of analysis and geometry on compact complex manifolds, and is already one of the standard sources for this material.

Differential Analysis on Complex Manifolds, Oscar Garcia-Prada; Raymond O. Wells