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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.06391 |
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| _version_ | 1866914027410554880 |
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| author | Buff, Xavier Tahar, Guillaume |
| author_facet | Buff, Xavier Tahar, Guillaume |
| contents | Affine cylinders (genus zero surfaces with two singularities) and affine tori (genus one surfaces without singularities) are among the simplest examples of surfaces endowed with a complex affine structure. Their geodesic flows are particularly tractable. In this article, we provide explicit necessary and sufficient conditions under which the geodesic flows on such surfaces are conjugate, in the topological and in the holomorphic category. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_06391 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Conjugacies of geodesic flows in affine cylinders and tori Buff, Xavier Tahar, Guillaume Dynamical Systems Affine cylinders (genus zero surfaces with two singularities) and affine tori (genus one surfaces without singularities) are among the simplest examples of surfaces endowed with a complex affine structure. Their geodesic flows are particularly tractable. In this article, we provide explicit necessary and sufficient conditions under which the geodesic flows on such surfaces are conjugate, in the topological and in the holomorphic category. |
| title | Conjugacies of geodesic flows in affine cylinders and tori |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2509.06391 |