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RESEARCH PRODUCT
Transitive Anosov flows and Axiom-A diffeomorphisms
Nancy GuelmanChristian Bonattisubject
Pure mathematicsFlow (mathematics)Applied MathematicsGeneral MathematicsMathematical analysisAttractorBoundary (topology)Anosov diffeomorphismRiemannian manifoldTopological conjugacySuspension (topology)Axiom AMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-06-01 | Ergodic Theory and Dynamical Systems |