6533b860fe1ef96bd12c2f45
RESEARCH PRODUCT
Transitive partially hyperbolic diffeomorphisms on 3-manifolds
Christian BonattiAmie Wilkinsonsubject
Discrete mathematicsTransitive relationPure mathematicsMathematics::Dynamical Systems010102 general mathematics05 social sciencesSkewTorus01 natural sciencesMathematics::Geometric TopologyFlow (mathematics)Structural stability0502 economics and businessAnosov diffeomorphismGeometry and Topology0101 mathematicsMathematics::Symplectic Geometry050203 business & managementMathematicsdescription
Abstract The known examples of transitive partially hyperbolic diffeomorphisms on 3-manifolds belong to 3 basic classes: perturbations of skew products over an Anosov map of T 2 , perturbations of the time one map of a transitive Anosov flow, and certain derived from Anosov diffeomorphisms of the torus T 3 . In this work we characterize the two first types by a local hypothesis associated to one closed periodic curve.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2005-05-01 | Topology |