Poincaré series for surfaces with boundary
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866916208759013376 |
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| author | Chaubet, Yann |
| author_facet | Chaubet, Yann |
| contents | We show that the Poincaré series counting orthogeodesics of a negatively curved surface with totally geodesic boundary extends meromorphically to the whole complex plane, as well as the series counting geodesic arcs linking two points; we also give their value at zero. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2106_07604 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Poincaré series for surfaces with boundary Chaubet, Yann Differential Geometry Dynamical Systems 37C30, 53C22 We show that the Poincaré series counting orthogeodesics of a negatively curved surface with totally geodesic boundary extends meromorphically to the whole complex plane, as well as the series counting geodesic arcs linking two points; we also give their value at zero. |
| title | Poincaré series for surfaces with boundary |
| topic | Differential Geometry Dynamical Systems 37C30, 53C22 |
| url | https://arxiv.org/abs/2106.07604 |