Bessa, MárioDias, João LopesTorres, Maria Joana2023-10-042023-10-042020Bessa, Mário, João Lopes Dias and Maria Joana Torres .(2020). “Hyperbolicity through stable shadowing for generic geodesic flows”. Physica D: Nonlinear Phenomena 406, 132423. (Search PDF in 2023)0167-2789http://hdl.handle.net/10400.5/28888We prove that the closure of the closed orbits of a generic geodesic flow on a closed Riemannian n ≥ 2 dimensional manifold is a uniformly hyperbolic set if the shadowing property holds C²- -robustly on the metric. We obtain analogous results using weak specification and the shadowing property allowing bounded time reparametrization.engGeodesic FlowHyperbolic SetsShadowingSpecificationjournal articledoi.org/10.1016/j.physd.2020.132423 0167-2789