Lectures on Khler Geometry by Andrei Moroianu - 9780521868914

Lectures on Khler GeometryAuthor(s): Andrei Moroianu\nFormat: Hardback\nPublisher: Cambridge University Press, United Kingdom\nImprint: Cambridge University Press\nISBN-13: 9780521868914, 978-0521868914\nSynopsis\nKhler 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. Khler 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 Khler identities. The final part of the text studies several aspects of compact Khler manifolds: the Calabi conjecture, Weitzenbck techniques, CalabiYau manifolds, and divisors. All sections of the book end with a series of exercises a.