Invariant metrics and distances on generalized Neil parabolas
Complex Variables
2010-06-23 v3
Abstract
We present the Carath\'eodory-Reiffen metric and the inner Carath\'eodory distance on generalized parabolas. It turns out that on such parabolas the Carath\'eodory distance is not inner.
Cite
@article{arxiv.math/0603574,
title = {Invariant metrics and distances on generalized Neil parabolas},
author = {Nikolai Nikolov and Peter Pflug},
journal= {arXiv preprint arXiv:math/0603574},
year = {2010}
}
Comments
Proposition 4 and Corollary 5 are new