English

On dynamical coherence of partially hyperbolic flows

Dynamical Systems 2026-01-30 v1 Differential Geometry

Abstract

In this paper, we introduce the notion of dynamical coherence for a partially hyperbolic flow (φt)(\varphi^t) on a smooth compact manifold MM, and prove it under the assumption that there exists a compact foliation with trivial holonomy which integrates the subcenter distribution.

Keywords

Cite

@article{arxiv.2601.20584,
  title  = {On dynamical coherence of partially hyperbolic flows},
  author = {Mounib Abouanass},
  journal= {arXiv preprint arXiv:2601.20584},
  year   = {2026}
}

Comments

21 pages

R2 v1 2026-07-01T09:23:55.064Z