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Advisor(s)
Abstract(s)
We 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.
Description
Keywords
Geodesic Flow Hyperbolic Sets Shadowing Specification
Pedagogical Context
Citation
Bessa, 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)
Publisher
Elsevier