Orbital equivalence classes of finite coverings of geodesic flows
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
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| _version_ | 1866916132345085952 |
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| author | Barbot, Thierry Fenley, Sérgio |
| author_facet | Barbot, Thierry Fenley, Sérgio |
| contents | Let $M$ be a closed 3-manifold admitting a finite cover of index n along the fibers over the unit tangent bundle of a closed surface. We prove that if n is odd, there is only one Anosov flow on M up to orbital equivalence, and if n is even, there are two orbital equivalence classes of Anosov flows on M. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_02495 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Orbital equivalence classes of finite coverings of geodesic flows Barbot, Thierry Fenley, Sérgio Dynamical Systems Geometric Topology Let $M$ be a closed 3-manifold admitting a finite cover of index n along the fibers over the unit tangent bundle of a closed surface. We prove that if n is odd, there is only one Anosov flow on M up to orbital equivalence, and if n is even, there are two orbital equivalence classes of Anosov flows on M. |
| title | Orbital equivalence classes of finite coverings of geodesic flows |
| topic | Dynamical Systems Geometric Topology |
| url | https://arxiv.org/abs/2205.02495 |