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

• Tipo: Artigo em Revista Científica Internacional
• Data: 2003

Autores

Ferreira, F (Autor) Outra; Pinto, AA (Autor) FCUP

Revista

Título: Ergodic Theory and Dynamical Systems

Vol. 23

Páginas: 509-517

ISSN: 0143-3857

Editora: Cambridge University Press

Indexação

ISI Web of Knowledge - 12 Citações

Scopus - 12 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: 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.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 9