{
  "id": "2012.03708",
  "version": "v1",
  "published": "2020-12-07T14:07:03.000Z",
  "updated": "2020-12-07T14:07:03.000Z",
  "title": "Distortion element in group of diffeomorphisms of the 2-sphere",
  "authors": [
    "Jonathan Conejeros"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove that every distortion element in the group of diffeomorphisms of the 2-sphere which has some recurrent point that is not fixed is an irrational pseudo-rotation. Moreover we prove that the differential of a distortion element in the group of diffeomorphisms of the 2-sphere having at least three fixed points at a fixed point has a unique eigenvalue which is 1.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-12-07T14:07:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37E30",
      "37E45",
      "37B05"
    ],
    "keywords": [
      "distortion element",
      "diffeomorphisms",
      "fixed point",
      "recurrent point"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}