Accessibility and central integrability in the absence of periodic points
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866912683298652160 |
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| author | Feng, Ziqiang Ures, Raúl |
| author_facet | Feng, Ziqiang Ures, Raúl |
| contents | We consider a partially hyperbolic diffeomorphism $f: M \to M$ without periodic points on a closed manifold $M$. We prove that $f$ is accessible when $M$ is a 3-manifold with non-virtually-solvable fundamental group $π_1(M)$. In the case where $\dim E^c = 1$, we demonstrate that the center bundle $E^c$ is uniquely integrable if $f$ lacks accessibility. Furthermore, we provide a complete characterization of accessibility classes for such systems with one-dimensional center bundles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_00853 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Accessibility and central integrability in the absence of periodic points Feng, Ziqiang Ures, Raúl Dynamical Systems We consider a partially hyperbolic diffeomorphism $f: M \to M$ without periodic points on a closed manifold $M$. We prove that $f$ is accessible when $M$ is a 3-manifold with non-virtually-solvable fundamental group $π_1(M)$. In the case where $\dim E^c = 1$, we demonstrate that the center bundle $E^c$ is uniquely integrable if $f$ lacks accessibility. Furthermore, we provide a complete characterization of accessibility classes for such systems with one-dimensional center bundles. |
| title | Accessibility and central integrability in the absence of periodic points |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2511.00853 |