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Book synopsis

Kähler geometry is a beautiful and intriguing area of mathematics, of substantial research interest to both mathematicians and physicists. This self-contained 2007 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.

Book details

Book category Books in English Mathematics & science Mathematics Geometry

• Full title: Lectures on Kahler Geometry
• Author: Andrei Moroianu
• Language: English
• Binding: Hardback
• Number of pages: 182
• EAN: 9780521868914
• ISBN: 0521868912
• ID: 02048160
• Publisher: Cambridge University Press
• Weight: 440 g
• Dimensions: 229 × 152 × 14 mm
• Date of publishing: 29. March 2007

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