{ "id": "1309.3578", "version": "v1", "published": "2013-09-13T20:38:05.000Z", "updated": "2013-09-13T20:38:05.000Z", "title": "Identities on Hyperbolic Manifolds", "authors": [ "Martin Bridgeman", "Ser Peow Tan" ], "categories": [ "math.GT", "math.DG" ], "abstract": "In this survey, we discuss four classes of identities due principally to Basmajian, McShane, Bridgeman-Kahn and Luo-Tan on hyperbolic manifolds and provide a unified approach for proving them. We also elucidate on the connections between the various identities.", "revisions": [ { "version": "v1", "updated": "2013-09-13T20:38:05.000Z" } ], "analyses": { "subjects": [ "57M50", "30F60", "20H10", "37F30" ], "keywords": [ "hyperbolic manifolds", "identities", "connections" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1309.3578B" } } }