Infinitely many noncontractible closed magnetic geodesics on non-compact manifolds
Differential Geometry
2023-02-01 v4 Dynamical Systems
Abstract
In this paper we study the existence and multiplicity of periodic orbits of exact magnetic flows with energy levels above the Ma\~{n}\'{e} critical value of the universal cover on a non-compact manifold from the viewpoint of Morse theory.
Keywords
Cite
@article{arxiv.2006.16075,
title = {Infinitely many noncontractible closed magnetic geodesics on non-compact manifolds},
author = {Wenmin Gong},
journal= {arXiv preprint arXiv:2006.16075},
year = {2023}
}
Comments
31 pages, final version, added more details about the computation of relative homology groups with respect to level sets in terms of critical groups of isolated critical submanifolds whose functional may be not $G$-invariant, see appendix B