Lectures on Kähler Geometry

K 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. K 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 K hler identities. The final part of the text studies several aspects of compact K hler manifolds: the Calabi conjecture, Weitzenb 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.

Author: Andrei Moroianu
Publisher: Cambridge University Press
Published: 05/07/2007
Pages: 182
Binding Type: Paperback
Weight: 0.60lbs
Size: 8.90h x 5.90w x 0.40d
ISBN: 9780521688970

About the Author
Moroianu, Andrei: - Andrei Moroianu is a Researcher at CNRS and a Professor of Mathematics at Ecole Polytechnique.