论文标题
$ \ mathbb {t}^3 $：刚度与琐事
Centralizers of derived-from-Anosov systems on $\mathbb{T}^3$: rigidity versus triviality
论文作者
论文摘要
在本文中，我们研究了$ \ mathbb {t}^3 $在$ \ mathbb {t}^3 $上的部分双曲线差异性的中心化，这与Anosov自动形态是同质的，我们表明其中心化器实际上是琐碎的，或者是这种差异性是平稳的。
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.
