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arXiv · 1412.7920

Explosion of differentiability for equivalencies between Anosov flows on 3-manifolds

Mario Bessa·Sergio Dias·Alberto A. Pinto
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Abstract

For Anosov flows obtained by suspensions of Anosov diffeomorphisms on surfaces, we show the following type of rigidity result: if a topological conjugacy between them is differentiable at a point, then the conjugacy has a smooth extension to the suspended 3-manifold. These result generalize the similar ones of Sullivan and Ferreira-Pinto for 1-dimensional expanding dynamics and also a result of Ferreira-Pinto for 2-dimensional hyperbolic dynamics.

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Mario Bessa, Sergio Dias, Alberto A. Pinto. 2014-12-26. Explosion of differentiability for equivalencies between Anosov flows on 3-manifolds. https://arxiv.org/abs/1412.7920

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