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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2503.00454 |
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| _version_ | 1866912255040290816 |
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| author | Khoule, Cheikh Manso, Matheus Ndiaye, Ameth War, Khadim |
| author_facet | Khoule, Cheikh Manso, Matheus Ndiaye, Ameth War, Khadim |
| contents | We prove that smooth reparametrizations of the geodesic flow on a manifold of constant negative curvature are contact Anosov flows. In particular we give a new class of exponentially mixing Anosov flows. Moreover, this introduces the notion of $C^0$-contact and we prove that the classical Gray stability theorem that is known in the smooth case fails in this setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_00454 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $C^0$-Contact Anosov flows Khoule, Cheikh Manso, Matheus Ndiaye, Ameth War, Khadim Dynamical Systems We prove that smooth reparametrizations of the geodesic flow on a manifold of constant negative curvature are contact Anosov flows. In particular we give a new class of exponentially mixing Anosov flows. Moreover, this introduces the notion of $C^0$-contact and we prove that the classical Gray stability theorem that is known in the smooth case fails in this setting. |
| title | $C^0$-Contact Anosov flows |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2503.00454 |