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Book 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 Kähler manifold, the Hodge decomposition theorem on compact Kähler manifolds, the Hodge-Riemann bilinear relations on Kähler 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.

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Differential Analysis on Complex Manifolds
• Author: R. O. Wells
• Language: English
• Binding: Hardback
• Number of pages: 299
• EAN: 9780387738918
• ISBN: 0387738916
• ID: 01382694
• Publisher: Springer-Verlag New York Inc.
• Weight: 588 g
• Dimensions: 242 × 159 × 20 mm
• Date of publishing: 31. October 2007

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