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.
By:
Andrei Moroianu (Ecole Polytechnique Paris) Imprint: Cambridge University Press Country of Publication: United Kingdom Volume: v. 69 Dimensions:
Height: 229mm,
Width: 153mm,
Spine: 12mm
Weight: 266g ISBN:9780521688970 ISBN 10: 0521688973 Series:London Mathematical Society Student Texts Pages: 182 Publication Date:14 May 2007 Audience:
Professional and scholarly
,
Undergraduate
Format:Paperback Publisher's Status: Active
Andrei Moroianu is a Researcher at CNRS and a Professor of Mathematics at Ecole Polytechnique
Reviews for Lectures on Kähler Geometry
A concise and well-written modern introduction to the subject. Tatyana E. Foth, Mathematical Reviews