English

Generic Ma\~n\'e sets

Dynamical Systems 2021-08-10 v6

Abstract

We prove that C2C^2 generic hyperbolic Ma\~n\'e sets contain a periodic orbit. In dimesion 2, adding a result with A. Figalli and L. Rifford, we obtain Ma\~n\'e's Conjecture for surfaces in the C2C^2 topology.

Keywords

Cite

@article{arxiv.1410.7141,
  title  = {Generic Ma\~n\'e sets},
  author = {Gonzalo Contreras},
  journal= {arXiv preprint arXiv:1410.7141},
  year   = {2021}
}
R2 v1 2026-06-22T06:37:04.431Z