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Differential Analysis on Complex Manifolds by R. O. Wells Jr. (auth.) is a nonfiction available to read on EtoBox.

What is Differential Analysis on Complex Manifolds about?

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 certain developments in the field during the decades since the book first appeared. From reviews of the 2nd Edition: "..the new edition of Professor Wells' book is timely and welcome...an excellent introduction for any mathematician who suspects that complex manifold techniques may be relevant to his work." - Nigel Hitchin, Bulletin of the London Mathem

Who reads Differential Analysis on Complex Manifolds?

Author

R. O. Wells Jr. (auth.)

Publisher

Springer New York : Imprint: Springer

Published

1980

Language

EN

ISBN

9781475739466

Category

nonfiction

Subjects

Mathematics, Stem