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.

This graduate text provides a concise and self-contained introduction to Kahler geometry.

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

Reviews
"A concise and well-written modern introduction to the subject." Tatyana E. Foth, Mathematical Reviews



Book Information
ISBN 9780521688970
Author Andrei Moroianu
Format Paperback
Page Count 182
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 266g
Dimensions(mm) 229mm * 153mm * 12mm