Homoclinics for geodesic flows of surfaces

Fuente: arXiv
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Auteurs principaux: Contreras, Gonzalo, Oliveira, Fernando
Format: Preprint
Publié: 2022
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author Contreras, Gonzalo
Oliveira, Fernando
author_facet Contreras, Gonzalo
Oliveira, Fernando
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2205_14848
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Homoclinics for geodesic flows of surfaces
Contreras, Gonzalo
Oliveira, Fernando
Dynamical Systems
Differential Geometry
37D40, 53D25, 37C29
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.
title Homoclinics for geodesic flows of surfaces
topic Dynamical Systems
Differential Geometry
37D40, 53D25, 37C29
url https://arxiv.org/abs/2205.14848