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arXiv:1412.7920 [math.DS]AbstractReferencesReviewsResources

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

Mario Bessa, Sergio Dias, Alberto A. Pinto

Published 2014-12-26Version 1

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.

Comments: 8 pages, 2 figures
Categories: math.DS
Subjects: 37D20, 37C15, 37D10
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