Lectures on Kähler Geometry

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Lectures on Kähler Geometry

By Andrei Moroianu

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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.

Subject: Mathematics & Statistics -> Post-Calculus -> Topology

Lectures on Kähler Geometry
1st edition
Publisher: Cambridge University Press 3/29/07
Imprint: Cambridge University Press
Language: English

ISBN 10: 0511271697
ISBN 13: 9780511271694
Print ISBN: 9780521868914

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