Non-Fiction Books:

Lectures on Kähler Geometry

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Paperback / softback
$152.00
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Description

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.

Author Biography:

Andrei Moroianu is a Researcher at CNRS and a Professor of Mathematics at Ecole Polytechnique
Release date NZ
March 29th, 2007
Audience
  • Professional & Vocational
Illustrations
Worked examples or Exercises
Pages
182
Dimensions
153x229x12
ISBN-13
9780521688970
Product ID
1973613

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