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arXiv · 1404.1770

Non-integrability of dominated splitting on $\mathbb{T}^2$

Baolin He·Shaobo Gan
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Abstract

We construct a diffeomorphism $f$ on 2-torus with a dominated splitting $E \oplus F$ such that there exists an open neighborhood $\mathcal{U} \ni f$ satisfying that for any $g \in \mathcal{U}$, neither $E_g$ nor $F_g$ is integrable.

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Baolin He, Shaobo Gan. 2014-04-07. Non-integrability of dominated splitting on $\mathbb{T}^2$. https://doi.org/10.1088/0951-7715%2F27%2F12%2F3179

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