Lectures on Kähler geometry
Andrei Moroianu
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.
კატეგორია:
წელი:
2007
გამოცემა:
1
გამომცემლობა:
Cambridge University Press
ენა:
english
გვერდები:
182
ISBN 10:
0521868912
ISBN 13:
9780521868914
სერია:
London Mathematical Society Student Texts
ფაილი:
PDF, 751 KB
IPFS:
,
english, 2007