{ "id": "math/0612290", "version": "v1", "published": "2006-12-11T22:49:31.000Z", "updated": "2006-12-11T22:49:31.000Z", "title": "Systoles of hyperbolic 4-manifolds", "authors": [ "Ian Agol" ], "comment": "4 pages, 1 figure", "categories": [ "math.GT" ], "abstract": "We prove that for any \\e>0, there exists a closed hyperbolic 4-manifold with a closed geodesic of length < \\e.", "revisions": [ { "version": "v1", "updated": "2006-12-11T22:49:31.000Z" } ], "analyses": { "subjects": [ "30F40" ], "keywords": [ "closed hyperbolic", "closed geodesic" ], "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math.....12290A" } } }