Topological structure of (partially) hyperbolic sets with positive volume

• Tipo: Artigo em Revista Científica Internacional
• Data: 2008

Autores

alves, jf (Autor) FCUP; pinheiro, v (Autor) Outra

Revista

Título: Transactions of the American Mathematical Society

Vol. 360 Nº 12

Páginas: 5551-5569

ISSN: 0002-9947

Editora: American Mathematical Society

Indexação

ISI Web of Knowledge - 12 Citações

Scopus - 15 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-004-4YE

DOI: 10.1090/s0002-9947-08-04484-x

Abstract (EN): We consider both hyperbolic sets and partially hyperbolic sets attracting a set of points with positive volume in a Riemannian manifold. We obtain several results on the topological structure of such sets for diffeomorphisms whose differentiability is larger than one. We show in particular that there are no partially hyperbolic horseshoes with positive volume for such diffeomorphisms. We also give a description of the limit set of almost every point belonging to a hyperbolic set or a partially hyperbolic set with positive volume.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 19