Differential analysis on complex manifolds
Author(s)
Bibliographic Information
Differential analysis on complex manifolds
（Graduate texts in mathematics, 65）
Springer-Verlag, c1980
- : us
- : gw
Available at / 130 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
: usWEL||6||1(2)2644858
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Kobe University General Library / Library for Intercultural Studies
: us410-8-G4//65061000071521
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University of Toyama Library, Central Library図
: us417.4||W46||90076440,
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Note
Bibliography: p. 241-247
Includes indexes
Description and Table of Contents
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.
Table of Contents
* Manifolds and Vector Bundles * Sheaf Theory * Differential Geometry * Elliptic Operator Theory * Compact Complex Manifolds * Kodaira?s Projective Embedding Theorem * Appendix by O. Garcia-Prada * References * Subject Index * Author Index
by "Nielsen BookData"
