{ "id": "2006.16075", "version": "v1", "published": "2020-06-29T14:29:46.000Z", "updated": "2020-06-29T14:29:46.000Z", "title": "Closed magnetic geodesics on non-compact manifolds", "authors": [ "Wenmin Gong" ], "comment": "27pages, Comments welcome!", "categories": [ "math.DG" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "2020-06-29T14:29:46.000Z" } ], "analyses": { "subjects": [ "53C22", "37J46" ], "keywords": [ "closed magnetic geodesics", "non-compact manifolds", "exact magnetic flows", "energy levels", "periodic orbits" ], "note": { "typesetting": "TeX", "pages": 27, "language": "en", "license": "arXiv", "status": "editable" } } }