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On the definition of the Kobayashi-Buseman pseudometric

Nikolai Nikolov, Peter Pflug

math.CVarXiv:math/0603020

Abstract

We prove that the (2n-1)-th Kobayashi pseudometric of any domain D⊂ Cn coincides with the Kobayashi--Buseman pseudometric of D, and that 2n-1 is the optimal number, in general.

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