On dynamical coherence of partially hyperbolic flows
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917230140194816 |
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| author | Abouanass, Mounib |
| author_facet | Abouanass, Mounib |
| contents | In this paper, we introduce the notion of dynamical coherence for a partially hyperbolic flow $(φ^t)$ on a smooth compact manifold $M$, and prove it under the assumption that there exists a compact foliation with trivial holonomy which integrates the subcenter distribution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_20584 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On dynamical coherence of partially hyperbolic flows Abouanass, Mounib Dynamical Systems Differential Geometry In this paper, we introduce the notion of dynamical coherence for a partially hyperbolic flow $(φ^t)$ on a smooth compact manifold $M$, and prove it under the assumption that there exists a compact foliation with trivial holonomy which integrates the subcenter distribution. |
| title | On dynamical coherence of partially hyperbolic flows |
| topic | Dynamical Systems Differential Geometry |
| url | https://arxiv.org/abs/2601.20584 |