A quantitative closing Lemma and Partner orbits on Riemannian manifolds with negative curvature
Differential Geometry
2024-03-05 v1 Mathematical Physics
Dynamical Systems
math.MP
Abstract
In this paper we prove a quantitative closing Lemma for manifolds of negative sectional curvature. As an application we study partner and pseudo-partner orbits for self-crossing closed geodesic.
Cite
@article{arxiv.2403.02077,
title = {A quantitative closing Lemma and Partner orbits on Riemannian manifolds with negative curvature},
author = {Michela Egidi and Gerhard Knieper},
journal= {arXiv preprint arXiv:2403.02077},
year = {2024}
}