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arXiv · 1210.2372

On the completeness of a metric related to the Bergman metric

Zywomir Dinew
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Abstract

We study the completeness of a metric which is related to the Bergman metric of a bounded domain. 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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Zywomir Dinew. 2012-10-08. On the completeness of a metric related to the Bergman metric. https://arxiv.org/abs/1210.2372

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