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.
Збережено в:
| Дата: | 2016 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2016
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147761 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-147761 |
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dspace |
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irk-123456789-1477612019-02-16T01:26:06Z Balanced Metric and Berezin Quantization on the Siegel-Jacobi Ball Berceanu, S. 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. 2016 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/147761 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Berceanu, S. |
| spellingShingle |
Berceanu, S. Balanced Metric and Berezin Quantization on the Siegel-Jacobi Ball Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Berceanu, S. |
| author_sort |
Berceanu, S. |
| title |
Balanced Metric and Berezin Quantization on the Siegel-Jacobi Ball |
| title_short |
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_sort |
balanced metric and berezin quantization on the siegel-jacobi ball |
| publisher |
Інститут математики НАН України |
| publishDate |
2016 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147761 |
| 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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT berceanus balancedmetricandberezinquantizationonthesiegeljacobiball |
| first_indexed |
2023-05-20T17:28:29Z |
| last_indexed |
2023-05-20T17:28:29Z |
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1796153382350618624 |