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

• Type: Article in International Scientific Journal
• Date: 2003

Authors

Ferreira, F (Author) Other; Pinto, AA (Author) FCUP

Journal

Title: Ergodic Theory and Dynamical Systems

Vol. 23

Pages: 509-517

ISSN: 0143-3857

Publisher: Cambridge University Press

Indexing

ISI Web of Knowledge - 12 Citations

Scopus - 12 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-000-H5E

DOI: 10.1017/s0143385702001347

Resumo (PT): 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.

Abstract (EN): 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 9