Closed geodesics in dilation surfaces
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866909251000074240 |
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| author | Boulanger, Adrien Ghazouani, Selim Tahar, Guillaume |
| author_facet | Boulanger, Adrien Ghazouani, Selim Tahar, Guillaume |
| contents | We prove that directions of closed geodesics in every dilation surface form a dense subset of the circle. The proof draws on a study of the degenerations of the Delaunay triangulation of dilation surfaces under the action of Teichmüller flow in the moduli space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2110_06061 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Closed geodesics in dilation surfaces Boulanger, Adrien Ghazouani, Selim Tahar, Guillaume Geometric Topology Dynamical Systems We prove that directions of closed geodesics in every dilation surface form a dense subset of the circle. The proof draws on a study of the degenerations of the Delaunay triangulation of dilation surfaces under the action of Teichmüller flow in the moduli space. |
| title | Closed geodesics in dilation surfaces |
| topic | Geometric Topology Dynamical Systems |
| url | https://arxiv.org/abs/2110.06061 |