Diameter and displacement of sphere involutions
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866909221799329792 |
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| author | Bettiol, Renato G. Lauret, Emilio A. |
| author_facet | Bettiol, Renato G. Lauret, Emilio A. |
| contents | We show that spheres in all dimensions $\geq3$ can be deformed to have diameter larger than the distance between any pair of antipodal points. This answers a question of Yurii Nikonorov. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_05186 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Diameter and displacement of sphere involutions Bettiol, Renato G. Lauret, Emilio A. Differential Geometry 51M16 (Primary) 53C20, 53C30, 58C40 (Secondary) We show that spheres in all dimensions $\geq3$ can be deformed to have diameter larger than the distance between any pair of antipodal points. This answers a question of Yurii Nikonorov. |
| title | Diameter and displacement of sphere involutions |
| topic | Differential Geometry 51M16 (Primary) 53C20, 53C30, 58C40 (Secondary) |
| url | https://arxiv.org/abs/2205.05186 |