6533b858fe1ef96bd12b5736

RESEARCH PRODUCT

Un exemple de flot d'Anosov transitif transverse à un tore et non conjugué à une suspension

Christian BonattiRémi Langevin

subject

Pure mathematicsMathematics::Dynamical SystemsFlow (mathematics)Applied MathematicsGeneral MathematicsTransversal (combinatorics)TorusAnosov diffeomorphismMathematics::Symplectic GeometryMathematics::Geometric TopologySuspension (topology)Mathematics

description

AbstractWe construct an example of transitive Anosov flow on a compact 3-manifold, which admits a transversal torus and is not the suspension of an Anosov diffeomorphism.

https://doi.org/10.1017/s0143385700008099