On the completeness of a metric related to the Bergman metric |
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| Authors: | Żywomir Dinew |
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| Affiliation: | 1. Faculty of Mathematics and Computer Science, Jagiellonian University, ?ojasiewicza 6, 30-348, Kraków, Poland
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| Abstract: | We study the completeness of a metric which is related to the Bergman metric of a bounded domain (sometimes called the Burbea metric or Fuks metric). We provide a criterion for its completeness in the spirit of the Kobayashi criterion for the completeness of the Bergman metric. In particular we prove that in hyperconvex domains our metric is complete. |
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