English

The C0 general density theorem for geodesic flows

Dynamical Systems 2017-06-29 v2

Abstract

Given a closed Riemannian manifold, we prove the C0-general density theorem for continuous geodesic flows. More precisely, that there exists a residual (in the C0-sense) subset of the continuous geodesic flows such that, in that residual subset, the geodesic flow exhibits dense closed orbits.

Keywords

Cite

@article{arxiv.1304.1069,
  title  = {The C0 general density theorem for geodesic flows},
  author = {Mario Bessa and Maria Joana Torres},
  journal= {arXiv preprint arXiv:1304.1069},
  year   = {2017}
}

Comments

6 pages

R2 v1 2026-06-21T23:53:18.103Z