Submitted by math_admin on Tue, 03/03/2020 - 19:50
preprint-id:
preprint-title:
Explosion of Smoothness from a Point to Everywhere for Conjugacies Between Diffeomorphisms on Surfaces
preprint-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.
preprint-year:
2000