Infinitely many noncontractible closed magnetic geodesics on non-compact manifolds

Abstract

In this paper we study the existence and multiplicity of periodic orbits of exact magnetic flows with energy levels above the Mañé critical value of the universal cover on a non-compact manifold from the viewpoint of Morse theory.

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

References in corpus (2)

• Weak KAM theorem on non compact manifolds
• Symplectic deformations of Floer homology and non-contractible periodic orbits in twisted disc bundles