0000000000132799

AUTHOR

Nancy Guelman

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Transitive Anosov flows and Axiom-A diffeomorphisms

2009

AbstractLet M be a smooth compact Riemannian manifold without boundary, and ϕ:M×ℝ→M a transitive Anosov flow. We prove that if the time-one map of ϕ is C1-approximated by Axiom-A diffeomorphisms with more than one attractor, then ϕ is topologically equivalent to the suspension of an Anosov diffeomorphism.

Pure mathematicsFlow (mathematics)Applied MathematicsGeneral MathematicsMathematical analysisAttractorBoundary (topology)Anosov diffeomorphismRiemannian manifoldTopological conjugacySuspension (topology)Axiom AMathematicsErgodic Theory and Dynamical Systems
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