Franks' Lemma for C 2 Mane Perturbations of Riemannian Metrics and Applications to Persistence

Abstract : Given a compact Riemannian manifold, we prove a uniform Franks' lemma at second order for geodesic flows and apply the result in persistence theory.
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A Lazrag, Ludovic Rifford, Rafael Ruggiero. Franks' Lemma for C 2 Mane Perturbations of Riemannian Metrics and Applications to Persistence. Journal of modern dynamics, American Institute of Mathematical Sciences, 2016, 10, pp.379-411. ⟨10.3934/jmd.2016.10.379⟩. ⟨hal-01111786⟩

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