Continuum-wise expansive diffeomorphisms

• Autores: Kazuhiro Sakai
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 41, Nº 2, 1997, págs. 375-382
• Idioma: inglés
• Títulos paralelos:
  • Difeomorfismos expansivos de tipo continuo
• Enlaces
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• Resumen

  • In this paper, we show that the $C^1$ interior of the set of all continuum-wise expansive diffeomorphisms of a closed manifold coincides with the $C^1$ interior of the set of all expansive diffeomorphisms. And the $C^1$ interior of the set of all continuum-wise fully expansive diffeomorphisms on a surface is investigated. Furthermore, we have necessary and sufficient conditions for a diffeomorphism belonging to these open sets to be Anosov.