Dynamical coherence of specially absolutely partially hyperbolic endomorphisms on newcommand{TT}{{{mathbb T}}} TT(2) T 2
Abstract
In this paper, we prove that every specially absolutely partially hyperbolic endomorphism f on [ image ] is dynamically coherent. The key point is that we rule out Reeb components in the unstable foliation of f . Moreover, we exhibit a specially partially hyperbolic endomorphism on [ image ], which preserves a Reeb foliation as unstable foliation and is not dynamically coherent.
- Publication:
-
Nonlinearity
- Pub Date:
- May 2019
- DOI:
- 10.1088/1361-6544/ab004d
- Bibcode:
- 2019Nonli..32.1695H
- Keywords:
-
- endomorphisms;
- partial hyperbolicity;
- dynamical coherence;
- Reeb components