C2 densely the 2-sphere has an elliptic closed geodesic

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.

Cited by in corpus (2)

• Homoclinic intersections for geodesic flows on convex spheres
• Dynamical Properties of Gaussian Thermostats