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Differential Analysis on Complex Manifolds

Product Image: Differential Analysis on Complex Manifolds

Differential Analysis on Complex Manifolds

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Description
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.
Product details
Edition:
3
Number of Pages:
316
Release Date:
2007-10-31
Publication Date:
2007-10-31
Publisher:
Springer
Languages:
Original: English
ISBN10:
0387738916
ISBN13:
9780387738918
GPSR Manufacturer Reference:
Weight:
641 g
Height:
160 cm
Width:
241 cm
Thickness:
23 cm
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