Differential analysis on complex manifolds
By: R. O. Wells, Jr.
Series: Graduate texts in mathematics ; 65
Publisher: Springer-Verlag
Published: 1980
Place of publication: New York
Language: eng
Number of pages: 260
Subjects: Complex manifolds.; Differentiable manifolds.
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.
Notes: Bibliography: p. 241-247.
Includes indexes.