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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.24598 |
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| _version_ | 1866915313614848000 |
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| author | Lopes, Rodrigo R. Maquera, Carlos Varão, Régis |
| author_facet | Lopes, Rodrigo R. Maquera, Carlos Varão, Régis |
| contents | We prove that an Anosov action of $\mathbb{R}^k$ over a compact manifold $M$ transitive on regular sub-cones satisfies the dichotomy: each stable and unstable leaf is dense or the Anosov action is topologically conjugated to a suspension of a $\mathbb{Z}^k$-Anosov action. This represents an important progress toward addressing Verjovsky's extended conjecture for Anosov actions, as developed by Barbot and Maquera. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_24598 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Anosov actions: minimality of foliations or suspension action Lopes, Rodrigo R. Maquera, Carlos Varão, Régis Dynamical Systems We prove that an Anosov action of $\mathbb{R}^k$ over a compact manifold $M$ transitive on regular sub-cones satisfies the dichotomy: each stable and unstable leaf is dense or the Anosov action is topologically conjugated to a suspension of a $\mathbb{Z}^k$-Anosov action. This represents an important progress toward addressing Verjovsky's extended conjecture for Anosov actions, as developed by Barbot and Maquera. |
| title | Anosov actions: minimality of foliations or suspension action |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2505.24598 |