{ "id": "1905.10722", "version": "v1", "published": "2019-05-26T03:47:04.000Z", "updated": "2019-05-26T03:47:04.000Z", "title": "A geometric property of closed geodesics on hyperbolic surfaces", "authors": [ "Max Neumann-Coto", "Peter Scott" ], "comment": "30 pages, 18 figures", "categories": [ "math.GT" ], "abstract": "We study closed geodesics on hyperbolic surfaces, and give bounds for their angles of intersection and self-intersection, and for the sides of the polygons that they form, depending only on the lengths of the geodesics", "revisions": [ { "version": "v1", "updated": "2019-05-26T03:47:04.000Z" } ], "analyses": { "subjects": [ "51M10", "53C22", "57M60" ], "keywords": [ "hyperbolic surfaces", "geometric property", "study closed geodesics", "self-intersection" ], "note": { "typesetting": "TeX", "pages": 30, "language": "en", "license": "arXiv", "status": "editable" } } }