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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2016 |
| Main Author: | |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2016
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| Online Access: | https://nasplib.isofts.kiev.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| _version_ | 1862534674203541504 |
|---|---|
| author | Berceanu, S. |
| author_facet | Berceanu, S. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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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| first_indexed | 2025-11-24T06:31:28Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147761 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-24T06:31:28Z |
| publishDate | 2016 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Berceanu, S. 2019-02-15T19:15:05Z 2019-02-15T19:15:05Z 2016 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. 1815-0659 2010 Mathematics Subject Classification: 32Q15; 81S10; 53D50; 57Q35; 81R30 DOI:10.3842/SIGMA.2016.064 https://nasplib.isofts.kiev.ua/handle/123456789/147761 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. I am grateful to Daniel Beltita for clarifying some aspects of contractibility related with this
 paper. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Balanced Metric and Berezin Quantization on the Siegel-Jacobi Ball Article published earlier |
| spellingShingle | Balanced Metric and Berezin Quantization on the Siegel-Jacobi Ball Berceanu, S. |
| title | Balanced Metric and Berezin Quantization on the Siegel-Jacobi Ball |
| title_full | Balanced Metric and Berezin Quantization on the Siegel-Jacobi Ball |
| title_fullStr | Balanced Metric and Berezin Quantization on the Siegel-Jacobi Ball |
| title_full_unstemmed | Balanced Metric and Berezin Quantization on the Siegel-Jacobi Ball |
| title_short | Balanced Metric and Berezin Quantization on the Siegel-Jacobi Ball |
| title_sort | balanced metric and berezin quantization on the siegel-jacobi ball |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147761 |
| work_keys_str_mv | AT berceanus balancedmetricandberezinquantizationonthesiegeljacobiball |