Bessa, MárioDias, João LopesTorres, Maria Joana2023-05-262023-05-262020M. Bessa, J. L. Dias, M. J. Torres, Hyperbolicity through stable shadowing for generic geodesic flows, Physica D: Nonlinear Phenomena, 406, 132423, 2020http://hdl.handle.net/10400.2/13865We 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 article10.1016/j.physd.2020.132423