On the Bergman representative coordinates

Details On the Bergman representative coordinates On the Bergman representative coordinates

2010-01-23

arxiv.org/abs/1001.4206v1

Mathematics

Complex Variables

20 pages

Scientific paper

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.

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