arXiv Analytics

Sign in

arXiv:2006.16075 [math.DG]AbstractReferencesReviewsResources

Closed magnetic geodesics on non-compact manifolds

Wenmin Gong

Published 2020-06-29Version 1

In this paper we study the existence of periodic orbits of exact magnetic flows with energy levels above the Ma\~{n}\'{e} critical value $c_u(L)$ on a noncompact manifold from the viewpoint of Morse theory.

Comments: 27pages, Comments welcome!
Categories: math.DG
Subjects: 53C22, 37J46
Related articles: Most relevant | Search more
arXiv:1805.12540 [math.DG] (Published 2018-05-29)
Evolution of Contractions between Non-Compact Manifolds
arXiv:math/9903100 [math.DG] (Published 1999-03-17, updated 1999-03-18)
Periodic orbits of Hamiltonian flows near symplectic critical submanifolds
arXiv:math/0604388 [math.DG] (Published 2006-04-18)
On configuration spaces of plane polygons, sub-Riemannian geometry and periodic orbits of outer billiards