Balanced Metric and Berezin Quantization on the Siegel-Jacobi Ball

We determine the matrix of the balanced metric of the Siegel-Jacobi ball and its inverse. We calculate the scalar curvature, the Ricci form and the Laplace-Beltrami operator of this manifold. We discuss several geometric aspects related with Berezin quantization on the Siegel-Jacobi ball.

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Bibliographic Details
Date:2016
Main Author: Berceanu, S.
Format: Article
Language:English
Published: Інститут математики НАН України 2016
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/147761
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Balanced Metric and Berezin Quantization on the Siegel-Jacobi Ball / S. Berceanu // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 80 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine