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Lectures on Kahler Geometry by Andrei Moroianu

Lectures on Kahler Geometry

by Andrei Moroianu
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Book cover type: Hardcover
  • ISBN13: 9780521868914
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Publication Date:
  • Pages: 182
  • Original Price: GBP 134.0
  • Language: English
  • Edition: N/A
  • Item Weight: 377 grams
  • BISAC Subject(s): Geometry / General

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.

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

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