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arxiv: 1503.06501 · v1 · pith:2VU6WHWMnew · submitted 2015-03-23 · 🧮 math.DS

Transitivity of conservative diffeomorphisms isotopic to Anosov on mathbb{T}³

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keywords diffeomorphismsanosovisotopicmathbbtransitivityalongautomorphismconservative
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We prove transitivity for volume preserving $C^{1+}$ diffeomorphisms on $\mathbb{T}^3$ which are isotopic to a linear Anosov automorphism along a path of weakly partially hyperbolic diffeomorphisms.

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