ENGLISH

Differential Analysis on Complex Manifolds

Book information

Publisher
Springer New York
Year
1980
ISBN
9780387904191, 0387904190
DOI
10.1007/978-1-4757-3946-6
LCC
QA613 .W44 1980
Open Library ID
OL4408600M
Language
english
Format
PDF
Filesize
2 MB (1796434 bytes)
Series
Graduate Texts in Mathematics 65
Edition
2nd
Pages
314\314
Library
mexmat
Time added
2009-07-20 03:45:11

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.

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