English

Quasi-isometric center action in dimension 3

Dynamical Systems 2024-11-19 v1

Abstract

We study transitive partially hyperbolic diffeomorphisms in dimension 3 preserving a center foliation on which they act quasi-isometrically. We show that the diffeomorphism is up to finite lift and iterate, either a skew-product or a discretised Anosov flow.

Keywords

Cite

@article{arxiv.2411.10875,
  title  = {Quasi-isometric center action in dimension 3},
  author = {Marcielis Espitia and Santiago Martinchich and Rafael Potrie},
  journal= {arXiv preprint arXiv:2411.10875},
  year   = {2024}
}

Comments

13 pages, 2 figures