Kobayashi-Royden pseudometric vs. Lempert function

Mathematics – Complex Variables

Scientific paper

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An essential mistake has been corrected in v2. Improved example in v3. v4: minor changes according to the referee remarks (Ann

Scientific paper

We give an example showing that the Kobayashi-Royden pseudometric for a
non-taut domain is, in general, not the derivative of the Lempert function.

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