Closed geodesics on hyperbolic surfaces with few intersections
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_ | 1866911186179588096 |
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| author | Shen, Wujie |
| author_facet | Shen, Wujie |
| contents | We prove that, if a closed geodesic $Γ$ on a complete finite type hyperbolic surface has at least 2 self-intersections, then the length of $Γ$ has an lower bound $2\log(5+2\sqrt6)$, and the lower bound is sharp, attained on a corkscrew geodesic on a thrice punctured sphere. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_00243 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Closed geodesics on hyperbolic surfaces with few intersections Shen, Wujie Geometric Topology We prove that, if a closed geodesic $Γ$ on a complete finite type hyperbolic surface has at least 2 self-intersections, then the length of $Γ$ has an lower bound $2\log(5+2\sqrt6)$, and the lower bound is sharp, attained on a corkscrew geodesic on a thrice punctured sphere. |
| title | Closed geodesics on hyperbolic surfaces with few intersections |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2403.00243 |