A chain transitive accessible partially hyperbolic diffeomorphism which is non-transitive

Gan, Shaobo; Shi, Yi

doi:10.1090/proc/13708

A chain transitive accessible partially hyperbolic diffeomorphism which is non-transitive
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by Shaobo Gan and Yi Shi PDF

Proc. Amer. Math. Soc. 146 (2018), 223-232 Request permission

Abstract:

In this paper, we construct a partially hyperbolic skew-product diffeomorphism on $\mathbb {T}^3$, which is accessible and chain transitive, but not transitive.

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