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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 since the book appeared.
| Erscheinungsjahr: | 2007 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Inhalt: |
xiii
299 S. |
| ISBN-13: | 9780387738918 |
| ISBN-10: | 0387738916 |
| Sprache: | Englisch |
| Herstellernummer: | 10978368 |
| Einband: | Gebunden |
| Autor: | Wells, Raymond O. |
| Auflage: | Third Edition 2008 |
| Hersteller: |
Springer
Copernicus Springer US, New York, N.Y. |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 241 x 160 x 23 mm |
| Von/Mit: | Raymond O. Wells |
| Erscheinungsdatum: | 31.10.2007 |
| Gewicht: | 0,641 kg |
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