Lectures on Kahler Geometry by Andrei Moroianu

Lectures on Kahler Geometry by Andrei Moroianu

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Summary

Kähler geometry is of substantial interest to both mathematicians and physicists and this graduate text provides a self-contained introduction to the subject. Topics discussed include complex manifolds and holomorphic vector bundles; Kähler manifolds and Hodge and Dolbeault theories; compact Kähler manifolds and a proof of the famous Kähler identities.

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Lectures on Kahler Geometry by Andrei Moroianu

K hler 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. K hler 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 K hler identities. The final part of the text studies several aspects of compact K hler manifolds: the Calabi conjecture, Weitzenb ck 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.
"A concise and well-written modern introduction to the subject" Tatyana E. Foth, Mathematical Reviews
Andrei Moroianu is a Researcher at CNRS and a Professor of Mathematics at Ecole Polytechnique.
SKU Unavailable
ISBN 13 9780521688970
ISBN 10 0521688973
Title Lectures on Kahler Geometry
Author Andrei Moroianu
Series London Mathematical Society Student Texts
Condition Unavailable
Binding Type Paperback
Publisher Cambridge University Press
Year published 2007-03-29
Number of pages 182
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note Unavailable