Ergodic Geodesic Flows and First Kind Flute Surfaces
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866917231997222912 |
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| author | Herrerías, Erick Gordillo Quellec, Nolwenn Le |
| author_facet | Herrerías, Erick Gordillo Quellec, Nolwenn Le |
| contents | We study flute surfaces and extend results of Pandazis and Šarić giving necessary and sufficient conditions on the Fenchel-Nielsen coordinates of the surface to be of the first kind. As a consequence of the first result, we characterize parabolic flute surfaces (i.e. flute surfaces with ergodic geodesic flow) with twist parameters in {0,1/2}, extending the work of Pandazis and Šarić. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_24576 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Ergodic Geodesic Flows and First Kind Flute Surfaces Herrerías, Erick Gordillo Quellec, Nolwenn Le Geometric Topology We study flute surfaces and extend results of Pandazis and Šarić giving necessary and sufficient conditions on the Fenchel-Nielsen coordinates of the surface to be of the first kind. As a consequence of the first result, we characterize parabolic flute surfaces (i.e. flute surfaces with ergodic geodesic flow) with twist parameters in {0,1/2}, extending the work of Pandazis and Šarić. |
| title | Ergodic Geodesic Flows and First Kind Flute Surfaces |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2510.24576 |