On the area of ordinary hyperbolic reduced polygons
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866910587855831040 |
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| author | Sagmeister, Ádám |
| author_facet | Sagmeister, Ádám |
| contents | A convex body $R$ in the hyperbolic plane is reduced if any convex body $K\subset R$ has a smaller minimal width than $R$. We examine the area of a family of hyperbolic reduced $n$-gons, and prove that, within this family, regular $n$-gons have maximal area. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_11360 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the area of ordinary hyperbolic reduced polygons Sagmeister, Ádám Metric Geometry 51M09, 51M10, 52A55 A convex body $R$ in the hyperbolic plane is reduced if any convex body $K\subset R$ has a smaller minimal width than $R$. We examine the area of a family of hyperbolic reduced $n$-gons, and prove that, within this family, regular $n$-gons have maximal area. |
| title | On the area of ordinary hyperbolic reduced polygons |
| topic | Metric Geometry 51M09, 51M10, 52A55 |
| url | https://arxiv.org/abs/2403.11360 |