English

Balanced Metric and Berezin Quantization on the Siegel-Jacobi Ball

Differential Geometry 2016-06-28 v2

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

Cite

@article{arxiv.1512.00601,
  title  = {Balanced Metric and Berezin Quantization on the Siegel-Jacobi Ball},
  author = {Stefan Berceanu},
  journal= {arXiv preprint arXiv:1512.00601},
  year   = {2016}
}