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portada Lectures on Kähler Geometry (London Mathematical Society Student Texts)
Type
Physical Book
Author
Publisher
Year
2007
Language
English
Pages
182
Format
Paperback
Dimensions
22.6 x 15.0 x 1.0 cm
Weight
0.27 kg.
ISBN
0521688973
ISBN13
9780521688970
Edition No.
1
Categories

Lectures on Kähler Geometry (London Mathematical Society Student Texts)

Andrei Moroianu (Author) · Cambridge University Press · Paperback

Lectures on Kähler Geometry (London Mathematical Society Student Texts) - Moroianu, Andrei

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Synopsis "Lectures on Kähler Geometry (London Mathematical Society Student Texts) "

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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