English

On the Bergman representative coordinates

Complex Variables 2015-05-18 v1

Abstract

We study the set where the so-called Bergman representative coordinates (or Bergman functions) form an immersion. We provide an estimate of the size of a maximal geodesic ball with respect to the Bergman metric, contained in this set. By concrete examples we show that these estimates are the best possible.

Cite

@article{arxiv.1001.4206,
  title  = {On the Bergman representative coordinates},
  author = {Zywomir Dinew},
  journal= {arXiv preprint arXiv:1001.4206},
  year   = {2015}
}

Comments

20 pages

R2 v1 2026-06-21T14:38:32.694Z