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On the approximation of time one maps of Anosov flows by Axiom A diffeomorphisms

  • Nancy Guelman
Article

Abstract.

We prove that if 𝒻1 is the time one map of a transitive and codimension one Anosov flow φ and it is C1-approximated by Axiom A diffeomorphisms satisfying a property called P, then the flow is topologically conjugated to the suspension of a codimension one Anosov diffeomorphism. A diffeomorphism 𝒻 satisfies property P if for every periodic point in M the number of periodic points in a fundamental domain of its central manifold is constant.

Keywords: Anosov flow, suspension ofAnosov diffeomorphisms, time one map,Axiom A. 
Mathematical subject classification: 37D20, 37D30, 37D05. 

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Copyright information

© Sociedade Brasileira de Matemática 2002

Authors and Affiliations

  • Nancy Guelman
    • 1
  1. 1.Universidad de La República, Facultad de Ingeniería, IMERL. J. Herrera y Reissig 565, Montevideo, URUGUAY E-mail: nguelman@fing.edu.uyUruguay

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