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...
Main Author: | |
---|---|
Format: | Article |
Language: | English |
Published: |
National Academy of Science of Ukraine
2010-08-01
|
Series: | Symmetry, Integrability and Geometry: Methods and Applications |
Subjects: | |
Online Access: | http://dx.doi.org/10.3842/SIGMA.2010.069 |