Lectures on Kähler Geometry

di Andrei Moroianu (Autore)

Cambridge University Press, 2007

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.

• Autore: Andrei Moroianu
• Editore: Cambridge University Press
• Collana: London Mathematical Society Student Texts
• Anno: 2007
• Rilegatura: Hardback
• Pagine: 182 p.
• Dimensioni: 229 x 152 mm
• Peso: 440 gr.
• EAN: 9780521868914

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