Anosov Endomorphisms on the 2-torus: Regularity of foliations and rigidity
Abstract
We provide sufficient conditions for smooth conjugacy between two Anosov endomorphisms on the 2-torus. From that, we also explore how the regularity of the stable and unstable foliations implies smooth conjugacy inside a class of endomorphisms including, for instance, the ones with constant Jacobian. As a consequence, we have in this class a characterization of smooth conjugacy between special Anosov endomorphisms and their linearizations.
Keywords
Cite
@article{arxiv.2104.01693,
title = {Anosov Endomorphisms on the 2-torus: Regularity of foliations and rigidity},
author = {Marisa Cantarino and Régis Varão},
journal= {arXiv preprint arXiv:2104.01693},
year = {2023}
}
Comments
This is an author-created, un-coyedited version of an article accepted for publication in Nonlinearity. The publisher is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at https://doi.org/10.1088/1361-6544/acf267