{ "id": "1703.00850", "version": "v1", "published": "2017-03-02T16:39:25.000Z", "updated": "2017-03-02T16:39:25.000Z", "title": "On the existence of closed geodesics on 2-orbifolds", "authors": [ "Christian Lange" ], "comment": "14 pages", "categories": [ "math.DG" ], "abstract": "We show that on every compact Riemannian 2-orbifold there exist infinitely many closed geodesics of positive length.", "revisions": [ { "version": "v1", "updated": "2017-03-02T16:39:25.000Z" } ], "analyses": { "subjects": [ "53C22", "58E10" ], "keywords": [ "closed geodesics", "compact riemannian" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable" } } }