A chain transitive accessible partially hyperbolic diffeomorphism which is non-transitive
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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.References
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Additional Information
- Shaobo Gan
- Affiliation: School of Mathematical Sciences, Peking University, Beijing 100871, People’s Republic of China
- Email: gansb@pku.edu.cn
- Yi Shi
- Affiliation: School of Mathematical Sciences, Peking University, Beijing 100871, People’s Republic of China
- MR Author ID: 1077591
- Email: shiyi@math.pku.edu.cn
- Received by editor(s): December 30, 2016
- Received by editor(s) in revised form: February 19, 2017
- Published electronically: July 28, 2017
- Communicated by: Yingfei Yi
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 223-232
- MSC (2010): Primary 37C20, 37D30
- DOI: https://doi.org/10.1090/proc/13708
- MathSciNet review: 3723135