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 |
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Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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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. |
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ISSN: | 0047-2468 1420-8997 |
DOI: | 10.1007/s00022-024-00714-9 |