Centralizers of derived-from-Anosov systems on $\mathbb{T}^3$: rigidity versus triviality
- Resource Type
- Working Paper
- Authors
- Gan, Shaobo; Shi, Yi; Xu, Disheng; Zhang, Jinhua
- Source
- Ergodic Theory and Dynamical Systems, 2021
- Subject
- Mathematics - Dynamical Systems
- Language
In this paper, we study the centralizer of a partially hyperbolic diffeomorphism on $\mathbb{T}^3$ 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.
Comment: 24 pages