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

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 af...

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Veröffentlicht in:Journal of geometry 2024-04, Vol.115 (1), Article 15
Hauptverfasser: Böröczky, Károly J., Csépai, András, Sagmeister, Ádám
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0047-2468
1420-8997
DOI:10.1007/s00022-024-00714-9