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