Balanced Metrics and Noncommutative Kähler Geometry

In this paper we show how Einstein metrics are naturally described using the quantization of the algebra of functions C∞(M) on a Kähler manifold M. In this setup one interprets M as the phase space itself, equipped with the Poisson brackets inherited from the Kähler 2-form. We compare the geometric...

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Bibliographic Details
Date:2010
Main Author: Lukic, S.
Format: Article
Language:English
Published: Інститут математики НАН України 2010
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/146504
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Balanced Metrics and Noncommutative Kähler Geometry / S. Lukic // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 23 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine