Differential Analysis on Complex Manifolds (Graduate Texts in Mathematics) - Hardcover

Wells, R. O.

Hardcover

ISBN 10: 0387904190 ISBN 13: 9780387904191

Publisher: Springer, 1986

Synopsis

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.

Edition details

• Publisher: Springer
• Publication date: 1986
• Language: English
• ISBN 10: 0387904190
• ISBN 13: 9780387904191
• Binding: Hardcover
• Edition number: 2
• Number of pages: 260