An obstruction to fiberwise Anosov flows over 3-dimensional Anosov flows
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866908788855930880 |
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| author | Paulet, Neige Zhang, Danyu |
| author_facet | Paulet, Neige Zhang, Danyu |
| contents | We study obstructions preventing a three-dimensional Anosov flow from serving as the base of a fiberwise Anosov flow. We prove a non-existence result if the base flow admits infinitely many periodic orbits in the same free homotopy class. We get as a corollary that any R-covered Anosov flow serving as the base of a fiberwise Anosov flow is orbit equivalent to a suspension or a geodesic flow. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_18487 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | An obstruction to fiberwise Anosov flows over 3-dimensional Anosov flows Paulet, Neige Zhang, Danyu Dynamical Systems 37D20 We study obstructions preventing a three-dimensional Anosov flow from serving as the base of a fiberwise Anosov flow. We prove a non-existence result if the base flow admits infinitely many periodic orbits in the same free homotopy class. We get as a corollary that any R-covered Anosov flow serving as the base of a fiberwise Anosov flow is orbit equivalent to a suspension or a geodesic flow. |
| title | An obstruction to fiberwise Anosov flows over 3-dimensional Anosov flows |
| topic | Dynamical Systems 37D20 |
| url | https://arxiv.org/abs/2601.18487 |