On dynamical coherence of partially hyperbolic flows

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Authors: Mounib Abouanass
Cited by: 0

Abstract

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.

Fields of Study & Subjects

Mathematical Dynamics and Fractals Advanced Differential Equations and Dynamical Systems Advanced Differential Geometry Research

Publication details

Journal / source
arXiv (Cornell University)
Publication date
28 January 2026
Language
EN
Document type
Preprint