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

Bessa, Mário; Dias, Sérgio; Pinto, Alberto

http://hdl.handle.net/10400.2/13878

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Authors

Bessa, Mário

Dias, Sérgio

Pinto, Alberto

Abstract(s)

For Anosov flows obtained by suspensions of Anosov diffeomor- phisms on surfaces, we show the following type of rigidity result: if a topolog- ical conjugacy between them is differentiable at a point, then the conjugacy has a smooth extension to the suspended 3-manifold. This result generalizes 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.

URI

http://hdl.handle.net/10400.2/13878

Citation

M. Bessa, S. Dias, A. A. Pinto, Explosion of differentiability for equivalencies between Anosov flows on 3-manifolds, Proceedings of the American Mathematical Society, 144, 9, 3757-3766, 2016