Balanced Metric and Berezin Quantization on the Siegel-Jacobi Ball

Symmetry Integrability and Geometry-Methods and Applications

article

Stefan Berceanu¹ 

[1] National Institute for Physics and Nuclear Engineering, Department of Theoretical Physics

关键词: Jacobi group;    Siegel–Jacobi ball;    balanced metric;    homogenous K¨ahler manifolds;    Laplace–Beltrami operator;    scalar curvature;    Ricci form;    Berezin quantization;   

DOI  :  10.3842/SIGMA.2016.064

来源: National Academy of Science of Ukraine

【 摘 要 】

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.

【 授权许可】

Unknown