Franks' Lemma for C²-Mané Perturbations of Riemannian Metrics and Applications to Persistence

2015/02/04 by Ayadi Lazrag, Lazrag, Ayadi, Ludovic Rifford +3 · 1 citation
Computer Science · Mathematics · #34D10 #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #Geometry and complex manifolds #Mathematical Dynamics and Fractals #Optimization and Control (math.OC) #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.1502.01145

openalex publication_date 2015/02/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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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