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Lectures on Kahler Geometry

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Lectures on Kahler Geometry by Andrei Moroianu
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Kahler 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. Kahler 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 Kahler identities. The final part of the text studies several aspects of compact Kahler manifolds: the Calabi conjecture, Weitzenboeck 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.

Author Biography

Andrei Moroianu is a Researcher at CNRS and a Professor of Mathematics at Ecole Polytechnique
Release date NZ
March 29th, 2007
Country of Publication
United Kingdom
131 exercises
Cambridge University Press
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