Differential Analysis on Complex Manifolds Contributor(s): Garcia-Prada, Oscar, Wells, Raymond O. (Author) |
|
![]() |
ISBN: 144192535X ISBN-13: 9781441925350 Publisher: Springer OUR PRICE: $56.99 Product Type: Paperback Published: November 2010 |
Additional Information |
BISAC Categories: - Mathematics | Mathematical Analysis - Mathematics | Calculus |
Dewey: 515.946 |
Series: Graduate Texts in Mathematics |
Physical Information: 0.67" H x 6.14" W x 9.21" (0.98 lbs) 299 pages |
Descriptions, Reviews, Etc. |
Publisher Description: 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, Griffiths's period mapping, quadratic transformations, and Kodaira's 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
|