Lectures on Kähler Geometry - Couverture souple

Moroianu, Andrei

Couverture souple

ISBN 10 : 0521688973 ISBN 13 : 9780521688970

Editeur : Cambridge University Press, 2007

Synopsis

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.

A propos du livre

À propos de l?auteur

Andrei Moroianu is a Researcher at CNRS and a Professor of Mathematics at Ecole Polytechnique.

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 2007
• Langue: anglais
• ISBN 10: 0521688973
• ISBN 13: 9780521688970
• Reliure: Broché
• Nombre de pages: 182
• Coordonnées du fabricant: non disponible
• Personne responsable: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; France