6533b824fe1ef96bd1280b82

RESEARCH PRODUCT

Seifert manifolds admitting partially hyperbolic diffeomorphisms

Andy HammerlindlMario ShannonMario ShannonRafael Potrie

subject

Surface (mathematics)Pure mathematicsMathematics::Dynamical SystemsCircle bundle[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]Dynamical Systems (math.DS)01 natural sciences[MATH.MATH-GN]Mathematics [math]/General Topology [math.GN]0103 physical sciencesFOS: MathematicsMSC: Primary: 37D30 37C15; Secondary: 57R30 55R05.Mathematics - Dynamical Systems0101 mathematicsMathematics::Symplectic GeometrySeifert spacesMathematics - General TopologyMathematicsTransitive relationAlgebra and Number TheoryApplied Mathematics010102 general mathematicsGeneral Topology (math.GN)Mathematics::Geometric TopologyFlow (mathematics)Partially hyperbolic diffeomorphisms010307 mathematical physicsDiffeomorphismAnalysis

description

We characterize which 3-dimensional Seifert manifolds admit transitive partially hyperbolic diffeomorphisms. In particular, a circle bundle over a higher-genus surface admits a transitive partially hyperbolic diffeomorphism if and only if it admits an Anosov flow.

yearjournalcountryeditionlanguage
2017-01-04
https://dx.doi.org/10.48550/arxiv.1701.01196