Bessa, Mario2020-02-052020-02-052018http://hdl.handle.net/10400.6/9036In this short note we contribute to the generic dynamics of geodesic flows associated to metrics on compact Riemannian manifolds of dimension ≥ 2. We prove that there exists a C2-residual subset R of metrics on a given compact Riemannian manifold such tha tif g∈R,then its associated geodesic flow φgt is expansive if and only if the closure of the set of periodic orbits of φgt is a uniformly hyperbolic set. For surfaces, we obtain a stronger statement: there exists a C2-residual R such that if g ∈ R, then its associated geodesic flow φgt is expansive if and only if φgt is an Anosov flow.engExpansivenessResidual setsAnosovGeodesic flowsjournal articlehttps://doi.org/10.1007/s11040-018-9271-7