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arXiv · 2303.16814

Hyperbolic width functions and characterizations of bodies of constant width in the hyperbolic space

Károly J. Böröczky·András Csépai·Ádám Sagmeister
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Abstract

We discuss basic properties of several different width functions in the $n$-dimensional hyperbolic space such as continuity, and we also define a new hyperbolic width as the extension of Leichtweiss' width function. Then we prove a characterization theorem of bodies of constant width regarding the aforementioned notions of hyperbolic width.

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Károly J. Böröczky, András Csépai, Ádám Sagmeister. 2023-03-29. Hyperbolic width functions and characterizations of bodies of constant width in the hyperbolic space. https://arxiv.org/abs/2303.16814

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