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Moroianu A. — Lectures on KГ¤hler Geometry (London Mathematical Society Student Texts)
Moroianu A. — Lectures on KГ¤hler Geometry (London Mathematical Society Student Texts)



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Название: Lectures on KГ¤hler Geometry (London Mathematical Society Student Texts)

Автор: Moroianu A.

Аннотация:

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.


Язык: en

Рубрика: Разное/

Статус предметного указателя: Неизвестно

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Год издания: 2007

Количество страниц: 182

Добавлена в каталог: 08.01.2018

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