English

Partially hyperbolic diffeomorphisms that are center fixing

Dynamical Systems 2024-02-22 v1 Geometric Topology

Abstract

We show that every transitive dynamically coherent partially hyperbolic diffeomorphism with a one-dimensional center foliation \Wc\W^c satisfying that f(W)=Wf(W)=W for every leaf W\WcW\in \W^c is a discretized Anosov flow.

Keywords

Cite

@article{arxiv.2402.13849,
  title  = {Partially hyperbolic diffeomorphisms that are center fixing},
  author = {Santiago Martinchich},
  journal= {arXiv preprint arXiv:2402.13849},
  year   = {2024}
}

Comments

22 pages, 4 figures

R2 v1 2026-06-28T14:55:49.492Z