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.
Kateqoriyalar:
İl:
2007
Nəşriyyat:
Cambridge University Press
Dil:
english
Səhifələr:
183
ISBN 10:
0521688973
ISBN 13:
9780521688970
Seriyalar:
London Mathematical Society Student Texts
Fayl:
PDF, 912 KB
IPFS:
,
english, 2007