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Título: Lectures On Kähler Geometry. London Mathematical Society Student Texts (No. 69) | |
| Autor: Moroianu, Andrei | Precio: $444.00 | |
| Editorial: Cambridge University Press | Año: 2007 | |
| Tema: Matematicas, Geometria, Lectura | Edición: 1ª | |
| Sinopsis | ISBN: 9780521688970 | |
| 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. | ||
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