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Khler 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, 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.
- Format: Pocket/Paperback
- ISBN: 9780521688970
- Språk: Engelska
- Antal sidor: 182
- Utgivningsdatum: 2007-03-01
- Förlag: Cambridge University Press