English

Centralizers of derived-from-Anosov systems on $\mathbb{T}^3$: rigidity versus triviality

Dynamical Systems 2022-06-20 v1

Abstract

In this paper, we study the centralizer of a partially hyperbolic diffeomorphism on T3\mathbb{T}^3 which is homotopic to an Anosov automorphism, and we show that either its centralizer is virtually trivial or such diffeomorphism is smoothly conjugate to its linear part.

Keywords

Cite

@article{arxiv.2006.00450,
  title  = {Centralizers of derived-from-Anosov systems on $\mathbb{T}^3$: rigidity versus triviality},
  author = {Shaobo Gan and Yi Shi and Disheng Xu and Jinhua Zhang},
  journal= {arXiv preprint arXiv:2006.00450},
  year   = {2022}
}

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24 pages