A sharper bound on the minimal possible diameter of a closed hyperbolic surface
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866915978202316800 |
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| author | Mathien, Joffrey Petri, Bram |
| author_facet | Mathien, Joffrey Petri, Bram |
| contents | We prove that the minimal possible diameter of a closed hyperbolic surface of genus $g$ is at most $\log(g)+25 \log \log(g) + O(1)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_02686 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A sharper bound on the minimal possible diameter of a closed hyperbolic surface Mathien, Joffrey Petri, Bram Geometric Topology Differential Geometry Probability We prove that the minimal possible diameter of a closed hyperbolic surface of genus $g$ is at most $\log(g)+25 \log \log(g) + O(1)$. |
| title | A sharper bound on the minimal possible diameter of a closed hyperbolic surface |
| topic | Geometric Topology Differential Geometry Probability |
| url | https://arxiv.org/abs/2605.02686 |