Lectures on Kähler Geometry

Kähler 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. Kähler 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 Kähler identities. The final part of the text studies several aspects of compact Kähler manifolds: the Calabi conjecture, Weitzenbck 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.

Book Details

• Author: Andrei Moroianu
• Publisher: Cambridge University Press
• eBook ISBN: 9780511271694, 0511271697
• Print ISBN: 9780521868914, 0521868912
• Other ISBNs: 0521688973, 9780521688970