Institute for Mathematical Sciences

Preprint ims00-11

F. Ferreira and A. A. Pinto
Explosion of Smoothness from a Point to Everywhere for Conjugacies Between Diffeomorphisms on Surfaces.

Abstract: 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.
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