Invariant metrics and distances on generalized Neil parabolas

Details Invariant metrics and distances on generalized Neil parabolas Invariant metrics and distances on generalized Neil parabolas

2006-03-24

arxiv.org/abs/math/0603574v3

Michigan Math. J. 55 (2007), 255-268

Mathematics

Complex Variables

Proposition 4 and Corollary 5 are new

Scientific paper

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.

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