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On the definition of the Kobayashi-Buseman pseudometric

Nikolai Nikolov·Peter Pflug
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Abstract

We prove that the $(2n-1)$-th Kobayashi pseudometric of any domain $D\subset\Bbb C^n$ coincides with the Kobayashi--Buseman pseudometric of $D,$ and that $2n-1$ is the optimal number, in general.

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Nikolai Nikolov, Peter Pflug. 2006-03-01. On the definition of the Kobayashi-Buseman pseudometric. https://arxiv.org/abs/math/0603020

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