{
  "id": "math/0609255",
  "version": "v3",
  "published": "2006-09-09T11:56:45.000Z",
  "updated": "2006-09-12T23:20:07.000Z",
  "title": "No invariant line fields on Cantor Julia sets",
  "authors": [
    "Yongcheng Yin",
    "Yu Zhai"
  ],
  "comment": "21 pages, 2 figures",
  "categories": [
    "math.DS",
    "math.CV"
  ],
  "abstract": "In this paper, we prove that a rational map with a Cantor Julia set carries no invariant line fields on its Julia set. It follows that a structurally stable rational map with a Cantor Julia set is hyperbolic.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2006-09-12T23:20:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37F10",
      "37F20"
    ],
    "keywords": [
      "invariant line fields",
      "cantor julia set carries",
      "structurally stable rational map",
      "hyperbolic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......9255Y"
    }
  }
}