{ "id": "1703.02478", "version": "v1", "published": "2017-03-07T17:23:17.000Z", "updated": "2017-03-07T17:23:17.000Z", "title": "An arithmetic property of the set of angles between closed geodesics on hyperbolic surfaces of finite type", "authors": [ "Sugata Mondal" ], "comment": "7 pages, 1 figure", "categories": [ "math.DG" ], "abstract": "For a hyperbolic surface S of finite type we consider the set A(S) of angles between closed geodesics on S. Our main result is that there are only finitely many rational multiples of \\pi in A(S).", "revisions": [ { "version": "v1", "updated": "2017-03-07T17:23:17.000Z" } ], "analyses": { "subjects": [ "53C22", "20H10" ], "keywords": [ "finite type", "hyperbolic surface", "closed geodesics", "arithmetic property" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable" } } }