Skewed Anosov flows are orbit equivalent to Reeb-Anosov flows in dimension 3
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866917048399953920 |
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| author | Marty, Théo |
| author_facet | Marty, Théo |
| contents | We prove that in dimension 3, Anosov flows which are $\mathbb{R}$-covered and skewed are orbit equivalent to Reeb-Anosov flows. We characterize the existence of an invariant contact form or of a Birkhoff section with a given boundary, in terms of linking numbers between two invariant signed measures. Furthermore, we prove the existence of open book decompositions with one boundary component for Reeb-Anosov flows. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_00842 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Skewed Anosov flows are orbit equivalent to Reeb-Anosov flows in dimension 3 Marty, Théo Dynamical Systems Symplectic Geometry 37D20 (Primary) 37J55 (Secondary) We prove that in dimension 3, Anosov flows which are $\mathbb{R}$-covered and skewed are orbit equivalent to Reeb-Anosov flows. We characterize the existence of an invariant contact form or of a Birkhoff section with a given boundary, in terms of linking numbers between two invariant signed measures. Furthermore, we prove the existence of open book decompositions with one boundary component for Reeb-Anosov flows. |
| title | Skewed Anosov flows are orbit equivalent to Reeb-Anosov flows in dimension 3 |
| topic | Dynamical Systems Symplectic Geometry 37D20 (Primary) 37J55 (Secondary) |
| url | https://arxiv.org/abs/2301.00842 |