Explosion of differentiability for equivalencies between Anosov flows on 3-manifolds
Dynamical Systems
2017-06-29 v1
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.
Keywords
Cite
@article{arxiv.1412.7920,
title = {Explosion of differentiability for equivalencies between Anosov flows on 3-manifolds},
author = {Mario Bessa and Sergio Dias and Alberto A. Pinto},
journal= {arXiv preprint arXiv:1412.7920},
year = {2017}
}
Comments
8 pages, 2 figures