On the completeness of a metric related to the Bergman metric

Published 8 Oct 2012 in math.CV | (1210.2372v1)

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

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