On the Bergman representative coordinates |
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| Institution: | DINEW Zywomir Department of Mathematics,Jagiellonian University,Kraków 30-348,Poland |
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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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| Keywords: | representative coordinates Bergman metric geodesic ball Lu Qi-Keng conjecture Hermitian geometry |
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