{ "id": "math/0602486", "version": "v2", "published": "2006-02-22T06:09:59.000Z", "updated": "2010-06-29T11:39:08.000Z", "title": "A note on minimality of foliations for partially hyperbolic diffeomorphisms", "authors": [ "Katsutoshi Shinohara" ], "comment": "4 pages", "categories": [ "math.DS" ], "abstract": "It was shown that in robustly transitive, partially hyperbolic diffeomorphisms on three dimensional closed manifolds, the strong stable or unstable foliation is minimal. In this article, we prove ``almost all'' leaves of both stable and unstable foliations are dense in the whole manifold.", "revisions": [ { "version": "v2", "updated": "2010-06-29T11:39:08.000Z" } ], "analyses": { "subjects": [ "37D30" ], "keywords": [ "partially hyperbolic diffeomorphisms", "minimality", "unstable foliation", "dimensional closed manifolds" ], "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math......2486S" } } }