Non-integrability of dominated splitting on $\mathbb{T}^2$
Dynamical Systems
2015-06-19 v1
Abstract
We construct a diffeomorphism on 2-torus with a dominated splitting such that there exists an open neighborhood satisfying that for any , neither nor is integrable.
Cite
@article{arxiv.1404.1770,
title = {Non-integrability of dominated splitting on $\mathbb{T}^2$},
author = {Baolin He and Shaobo Gan},
journal= {arXiv preprint arXiv:1404.1770},
year = {2015}
}