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Non-integrability of dominated splitting on $\mathbb{T}^2$
Published 7 Apr 2014 in math.DS | (1404.1770v1)
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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