Franks' Lemma for C^2-Mané 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.

arXiv comment60 pages

References in corpus (1)

• A geometric control proof of linear Franks' lemma for geodesic flows