Two moons in a puddle
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866908694474653696 |
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| author | Ceylan, Berk |
| author_facet | Ceylan, Berk |
| contents | We prove that a simple closed plane curve with curvature at most 1 and diameter at least 4, surrounds two disjoint open unit disks. We also pose an open question relating the diameter lower bound to the length of the curve. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_09301 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Two moons in a puddle Ceylan, Berk Differential Geometry We prove that a simple closed plane curve with curvature at most 1 and diameter at least 4, surrounds two disjoint open unit disks. We also pose an open question relating the diameter lower bound to the length of the curve. |
| title | Two moons in a puddle |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2310.09301 |