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

Baolin He; Shaobo Gan

arxiv: 1404.1770 · v1 · pith:J5EPW7N7new · submitted 2014-04-07 · 🧮 math.DS

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

Baolin He , Shaobo Gan This is my paper

classification 🧮 math.DS

keywords dominatedmathcalsplittingconstructdiffeomorphismexistsintegrablemathbb

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

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