Shortest filling geodesics on hyperbolic surfaces
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866915343578955776 |
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| author | Gao, Yue Wang, Jiajun Wang, Zhongzi |
| author_facet | Gao, Yue Wang, Jiajun Wang, Zhongzi |
| contents | In this paper, we obtain the minimal length of a filling (multi-)geodesic on a genus $g$ hyperbolic surface in the moduli space of hyperbolic surfaces and show that it is realized by the geodesic whose complement is a right-angled regular $(8g-4)$-gon. A single geodesic realizing this minimum is provided. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_12465 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Shortest filling geodesics on hyperbolic surfaces Gao, Yue Wang, Jiajun Wang, Zhongzi Geometric Topology 57K20 In this paper, we obtain the minimal length of a filling (multi-)geodesic on a genus $g$ hyperbolic surface in the moduli space of hyperbolic surfaces and show that it is realized by the geodesic whose complement is a right-angled regular $(8g-4)$-gon. A single geodesic realizing this minimum is provided. |
| title | Shortest filling geodesics on hyperbolic surfaces |
| topic | Geometric Topology 57K20 |
| url | https://arxiv.org/abs/2506.12465 |