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Lectures on Kahler Geometry

Lectures on Kahler Geometry

Hardcover

Series: London Mathematical Society Student Texts, Book 69

General MathematicsGeometry

ISBN10: 0521868912
ISBN13: 9780521868914
Publisher: Cambridge University Press
Published: Mar 29 2007
Pages: 182
Weight: 0.83
Height: 0.56 Width: 6.37 Depth: 8.99
Language: English
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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