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Invariant metrics and distances on generalized Neil parabolas

Nikolai Nikolov·Peter Pflug
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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.

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Nikolai Nikolov, Peter Pflug. 2006-03-24. Invariant metrics and distances on generalized Neil parabolas. https://arxiv.org/abs/math/0603574

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