Lectures on Kahler Geometry - 9780521868914
Un libro in lingua di Andrei Moroianu edito da Cambridge Univ Pr, 2007
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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.
Informazioni bibliografiche
- Titolo del Libro in lingua: Lectures on Kahler Geometry
- Lingua: English
- Autore: Andrei Moroianu
- Editore: Cambridge Univ Pr
- Collana: Cambridge Univ Pr (Hardcover)
- Data di Pubblicazione: 31 Gennaio '07
- Genere: MATHEMATICS
- Pagine: 171
- Dimensioni mm: 228 x 152 x 12
- ISBN-10: 0521868912
- EAN-13: 9780521868914