Differential Analysis on Complex Manifolds
Produktnummer:
1896fda97d10bc46218e0948880e1c955b
| Autor: | Wells, Raymond O. |
|---|---|
| Themengebiete: | Analysis Differenzierbare Mannigfaltigkeit Komplexe Mannigfaltigkeit calculus differential equation differential geometry manifold operator theory partial differential equation |
| Veröffentlichungsdatum: | 31.10.2007 |
| EAN: | 9780387738918 |
| Auflage: | 3 |
| Sprache: | Englisch |
| Seitenzahl: | 299 |
| Produktart: | Gebunden |
| Verlag: | Springer US |
Produktinformationen "Differential Analysis on Complex Manifolds"
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.
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