C2 densely the 2-sphere has an elliptic closed geodesic
Differential Geometry
2007-05-23 v1 Dynamical Systems
Abstract
We prove that a riemannian metric on the 2-sphere or the projective plane can be C2-approximated by a smooth metric whose geodesic flow has an elliptic closed geodesic.
Keywords
Cite
@article{arxiv.math/0312005,
title = {C2 densely the 2-sphere has an elliptic closed geodesic},
author = {Gonzalo Contreras and Fernando Oliveira},
journal= {arXiv preprint arXiv:math/0312005},
year = {2007}
}