Differential analysis on complex manifolds / R. O. Wells, Jr.

Format:

Book

Author/Creator:

Wells, R. O., Jr. (Raymond O'Neil), 1940-

Series:

Graduate texts in mathematics ; 65.

Graduate texts in mathematics ; 65

Language:

English

Subjects (All):

Complex manifolds.

Differentiable manifolds.

Physical Description:

x, 260 pages ; 25 cm.

Place of Publication:

New York : Springer-Verlag, [1980]

Summary:

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 K??hler manifold, the Hodge decomposition theorem on compact K??hler manifolds, the Hodge-Riemann bilinear relations on K??hler 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.

Notes:

Includes indexes.

Bibliography: pages 241-247.

ISBN:

0387904190

OCLC:

4832156