English

Kobayashi-Royden pseudometric vs. Lempert function

Complex Variables 2012-09-03 v4

Abstract

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.

Cite

@article{arxiv.0911.5071,
  title  = {Kobayashi-Royden pseudometric vs. Lempert function},
  author = {Nikolai Nikolov and Peter Pflug},
  journal= {arXiv preprint arXiv:0911.5071},
  year   = {2012}
}

Comments

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

R2 v1 2026-06-21T14:16:26.043Z