English

Closing geodesics in $C^1$ topology

Dynamical Systems 2013-05-28 v1

Abstract

Given a closed Riemannian manifold, we show how to close an orbit of the geodesic flow by a small perturbation of the metric in the C1C^1 topology.

Keywords

Cite

@article{arxiv.1305.6058,
  title  = {Closing geodesics in $C^1$ topology},
  author = {Ludovic Rifford},
  journal= {arXiv preprint arXiv:1305.6058},
  year   = {2013}
}
R2 v1 2026-06-22T00:22:48.179Z