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arXiv · 1001.4206

On the Bergman representative coordinates

Zywomir Dinew
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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.

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Zywomir Dinew. 2010-01-23. On the Bergman representative coordinates. https://doi.org/10.1007/s11425-011-4243-4

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