{ "id": "1208.5660", "version": "v1", "published": "2012-08-28T13:37:11.000Z", "updated": "2012-08-28T13:37:11.000Z", "title": "Ergodicity and partial hyperbolicity on the 3-torus", "authors": [ "Andy Hammerlindl", "Raúl Ures" ], "comment": "20 pages", "categories": [ "math.DS" ], "abstract": "If a non-ergodic, partially hyperbolic diffeomorphism on the 3-torus is homotopic to an Anosov diffeomorphism $A$, it is topologically conjugate to $A$.", "revisions": [ { "version": "v1", "updated": "2012-08-28T13:37:11.000Z" } ], "analyses": { "subjects": [ "37D30", "37A25" ], "keywords": [ "partial hyperbolicity", "ergodicity", "partially hyperbolic diffeomorphism" ], "note": { "typesetting": "TeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1208.5660H" } } }