Lectures on K�hler Geometry

K�hler geometry is a beautiful and intriguing area of mathematics, of substantial research interest to both mathematicians and physicists.\n\nThis 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. Additional ISBNs 0521868912, 0511271697, 0521688973, 9780521868914, 9780511271694, 9780521688970Lectures on K�hler Geometry 1st Edition is written by Andrei Moroianu and published by Cambridge University Press. ISBNs for Lectures on K�hler Geometry are 9780511271694, 0511271697 and the print ISBNs are 9780521868914, 0521868912. Additional ISBNs include 0521868912, 0511271697, 0521688973, 9780521868914, 9780511271694, 9780521688970.