Author: Moroianu, Andrei
Title: Lectures on Kähler Geometry
Description: Cambridge, Cambridge University Press. orig.wrappers. 23x15cm, ix,171 pp. PAPERBACK. Series: London Mathematical Society Student Texts, 69.. Minor rubbing. VG. ¶ 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, Weitzenböck 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" - publisher's description.

Keywords: Kählerian Manifolds, Geometry, Mathematics, , , , , ,