Explosion of smoothness from a point to everywhere for conjugacies between diffeomorphisms on surfaces

Ferreira, Flávio; Pinto, Alberto A.

http://hdl.handle.net/10400.22/6688

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Authors

Ferreira, Flávio

Pinto, Alberto A.

Abstract(s)

For diffeomorphisms on surfaces with basic sets, we show the following type of rigidity result: if a topological conjugacy between them is differentiable at a point in the basic set then the conjugacy has a smooth extension to the surface. These results generalize the similar ones of D. Sullivan, E. de Faria and ours for one-dimensional expanding dynamics.

Keywords

Hyperbolicity Conjugacy Rigidity

URI

http://hdl.handle.net/10400.22/6688

Citation

Ferreira, F., & Pinto, A. A. (2003). Explosion of smoothness from a point to everywhere for conjugacies between diffeomorphisms on surfaces. Ergodic Theory and Dynamical Systems, 23, 509–517. doi:10.1017/S0143385702001347