{
  "id": "1408.6363",
  "version": "v2",
  "published": "2014-08-27T09:30:53.000Z",
  "updated": "2014-08-29T07:38:23.000Z",
  "title": "Chain-transitivity of partially hyperbolic diffeomorphisms on $\\mathbb{T}^3$ isotopic to Anosov",
  "authors": [
    "Shaobo Gan"
  ],
  "comment": "Crucial gap has been founded by R. Potrie",
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove that if $f$ is a partially hyperbolic diffeomorphism on 3-torus $\\mathbb{T}^3$ and isotopic to Anosov, then $f$ is chain transitive.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-08-27T09:30:53.000Z",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-08-29T07:38:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D30"
    ],
    "keywords": [
      "partially hyperbolic diffeomorphism",
      "chain-transitivity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1408.6363G"
    }
  }
}