Lectures on Kahler Geometry

English

Series: London Mathematical Society Student Texts

ISBN: 0511271697

EAN: 9780511271694

Category: Mathematics / Geometry / Differential

Publisher: Cambridge University Press

Release Date: 03/31/2007

Synopsis: Kv''hler geometry is a beautiful and intriguing area of mathematics, of substantial research interest to both mathematicians and physicists. This self-contained graduate text provides a concise and accessible introduction to the topic. The book begins with a review of basic differential geometry, before moving on to a description of complex manifolds and holomorphic vector bundles. Kv''hler manifolds are discussed from the point of view of Riemannian geometry, and Hodge and Dolbeault theories are outlined, together with a simple proof of the famous Kv''hler identities. The final part of the text studies several aspects of compact Kv''hler manifolds: the Calabi conjecture, Weitzenbv?ck techniques, Calabi''''''Yau manifolds, and divisors. All sections of the book end with a series of exercises and students and researchers working in the fields of algebraic and differential geometry and theoretical physics will find that the book provides them with a sound understanding of this theory.

Excerpt: Unknown Property Excerpt

Lectures on Kahler Geometry

Illustrated: No

Format: eBook - PDF

Pages: 182