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Symmetry, Integrability and Geometry: Methods and Applications, 2016, Volume 12, 064, 28 pp.
DOI: https://doi.org/10.3842/SIGMA.2016.064 (Mi sigma1146) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Balanced Metric and Berezin Quantization on the Siegel–Jacobi Ball

Stefan Berceanu

National Institute for Physics and Nuclear Engineering, Department of Theoretical Physics, PO BOX MG-6, Bucharest-Magurele, Romania
Full-text PDF (573 kB) Citations (9)
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DOI: https://doi.org/10.3842/SIGMA.2016.064
Abstract: 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.
Keywords: Jacobi group; Siegel–Jacobi ball; balanced metric; homogenous Kähler manifolds; Laplace–Beltrami operator; scalar curvature; Ricci form; Berezin quantization.
Funding agency Grant number
Autoritatea Nationala pentru Cercetare Stiintifica si Inovare PN 16 42 01 01/2016
Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii, Romania PN-II-PCE-55/05.10.2011
This research was conducted in the framework of the ANCS project program PN 16 42 01 01/2016 and UEFISCDI-Romania program PN-II-PCE-55/05.10.2011.
Received: March 3, 2016; in final form June 17, 2016; Published online June 27, 2016
Bibliographic databases:
Document Type: Article
MSC: 32Q15; 81S10; 53D50; 57Q35; 81R30
Language: English
Citation: Stefan Berceanu, “Balanced Metric and Berezin Quantization on the Siegel–Jacobi Ball”, SIGMA, 12 (2016), 064, 28 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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