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arXiv · 2601.20584

On dynamical coherence of partially hyperbolic flows

Mounib Abouanass
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Abstract

In this paper, we introduce the notion of dynamical coherence for a partially hyperbolic flow $(\varphi^t)$ 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.

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Mounib Abouanass. 2026-01-28. On dynamical coherence of partially hyperbolic flows. https://arxiv.org/abs/2601.20584

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