Lectures on Kähler Geometry - Rilegato

Moroianu, Andrei

Rilegato

ISBN 10: 0521868912 ISBN 13: 9780521868914

Casa editrice: Cambridge University Press, 2007

Riassunto

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.

Su questo libro

Recensione:

"A concise and well-written modern introduction to the subject."
Tatyana E. Foth, Mathematical Reviews

Descrizione del libro:

Kähler geometry is of substantial interest to both mathematicians and physicists and this graduate text provides a self-contained introduction to the subject. Topics discussed include complex manifolds and holomorphic vector bundles; Kähler manifolds and Hodge and Dolbeault theories; compact Kähler manifolds and a proof of the famous Kähler identities.

Su questa edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 2007
• ISBN 10: 0521868912
• ISBN 13: 9780521868914
• Rilegatura: Copertina rigida
• Numero di pagine: 182