Balanced Metric and Berezin Quantization on the Siegel-Jacobi Ball

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12
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Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12, випуск за цей рік
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dc.contributor.author	Berceanu, S.
dc.date.accessioned	2019-02-15T19:15:05Z
dc.date.available	2019-02-15T19:15:05Z
dc.date.issued	2016
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 32Q15; 81S10; 53D50; 57Q35; 81R30
dc.identifier.other	DOI:10.3842/SIGMA.2016.064
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/147761
dc.description.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.	uk_UA
dc.description.sponsorship	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.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Balanced Metric and Berezin Quantization on the Siegel-Jacobi Ball	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA