Lectures on Kahler Geometry PDF
by Andrei Moroianu
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Description
Kahler 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.
Kahler 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 Kahler identities.
The final part of the text studies several aspects of compact Kahler manifolds: the Calabi conjecture, Weitzenbock 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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Download Now
- Format:PDF
- Publisher:Cambridge University Press
- Publication Date:29/03/2007
- Category:
- ISBN:9780511271694
Information
-
Download Now
- Format:PDF
- Publisher:Cambridge University Press
- Publication Date:29/03/2007
- Category:
- ISBN:9780511271694