Homoclinics for geodesic flows of surfaces
Dynamical Systems
2024-07-15 v2 Differential Geometry
Abstract
We prove that the geodesic flow of a Kupka-Smale riemannian metric on a closed surface has homoclinic orbits for all of its hyperbolic closed geodesics.
Cite
@article{arxiv.2205.14848,
title = {Homoclinics for geodesic flows of surfaces},
author = {Gonzalo Contreras and Fernando Oliveira},
journal= {arXiv preprint arXiv:2205.14848},
year = {2024}
}