Lectures on Kahler Geometry PDF (Adobe DRM) download by Andrei Moroianu

Lectures on Kahler Geometry

Cambridge University Press
Publication date: March 2007
ISBN: 9780511271694
Digital Book format: PDF (Adobe DRM)

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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¿ÄìYau 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.
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