Lipschitz regularity of the extremal distribution forces C^∞ regularity for volume-preserving partially hyperbolic diffeomorphisms on closed 3-manifolds.
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The Teichmüller space of 3D transitive Anosov flows is realized as a product of two function spaces, implying path-connectedness of orbit-equivalence classes and homotopy equivalence to Diff_0^r(M).
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Extremal distributions of partially hyperbolic systems: the Lipschitz threshold
Lipschitz regularity of the extremal distribution forces C^∞ regularity for volume-preserving partially hyperbolic diffeomorphisms on closed 3-manifolds.
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The Teichm\"uller Space of a 3-Dimensional Anosov Flow
The Teichmüller space of 3D transitive Anosov flows is realized as a product of two function spaces, implying path-connectedness of orbit-equivalence classes and homotopy equivalence to Diff_0^r(M).