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Lectures on Kahler Geometry
  • Bandtyp: Häftad
  • Språk: Engelska
  • Utgiven: 200703
  • Antal sidor: 182
  • Vikt i gram: 270
  • ISBN10:0521688973
  • ISBN13:9780521688970

Lectures on Kahler Geometry

(Häftad)
Beskrivning:

Kahler 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. Kahler 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 Kahler identities. The final part of the text studies several aspects of compact Kahler manifolds: the Calabi conjecture, Weitzenboeck 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.

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