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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Datum:2010
1. Verfasser: Lukic, S.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2010
Schriftenreihe:Symmetry, Integrability and Geometry: Methods and Applications
Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/146504
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren: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