Hyperbolic width functions and characterizations of bodies of constant width in the hyperbolic space
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866914645570224128 |
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| author | Böröczky, Károly J. Csépai, András Sagmeister, Ádám |
| author_facet | Böröczky, Károly J. Csépai, András Sagmeister, Ádám |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_16814 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Hyperbolic width functions and characterizations of bodies of constant width in the hyperbolic space Böröczky, Károly J. Csépai, András Sagmeister, Ádám Metric Geometry 52A55 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. |
| title | Hyperbolic width functions and characterizations of bodies of constant width in the hyperbolic space |
| topic | Metric Geometry 52A55 |
| url | https://arxiv.org/abs/2303.16814 |