Lectures on Kahler Geometry
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Overview
K hler 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. 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.
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Details
- ISBN-13: 9780521688970
- ISBN-10: 0521688973
- Publisher: Cambridge University Press
- Publish Date: March 2007
- Dimensions: 8.9 x 5.9 x 0.4 inches
- Shipping Weight: 0.6 pounds
- Page Count: 182
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