Finsler metrics on $1/n$-translation structures on surfaces
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866917380853071872 |
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| author | Pozzetti, Beatrice Shi, Jiajun |
| author_facet | Pozzetti, Beatrice Shi, Jiajun |
| contents | We define compatible Finsler distances on $1/n$-translation surfaces, we study their geodesics, and construct a Liouville current for each such metric, that is a geodesic current that encodes the information of the length of the closed curves. The construction is based on multi-foliations, a generalization of measured foliations of independent interest. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_02243 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Finsler metrics on $1/n$-translation structures on surfaces Pozzetti, Beatrice Shi, Jiajun Geometric Topology Differential Geometry We define compatible Finsler distances on $1/n$-translation surfaces, we study their geodesics, and construct a Liouville current for each such metric, that is a geodesic current that encodes the information of the length of the closed curves. The construction is based on multi-foliations, a generalization of measured foliations of independent interest. |
| title | Finsler metrics on $1/n$-translation structures on surfaces |
| topic | Geometric Topology Differential Geometry |
| url | https://arxiv.org/abs/2604.02243 |