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arxiv: math/0603020 · v1 · submitted 2006-03-01 · 🧮 math.CV

On the definition of the Kobayashi-Buseman pseudometric

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keywords pseudometriccoincidesdefinitiondomaingeneralkobayashikobayashi--busemankobayashi-buseman
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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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