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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.
Mathematics(all), Mathematics - Complex Variables, FOS: Mathematics, Complex Variables (math.CV)
Mathematics(all), Mathematics - Complex Variables, FOS: Mathematics, Complex Variables (math.CV)
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