{
  "id": "1001.0148",
  "version": "v1",
  "published": "2009-12-31T16:31:17.000Z",
  "updated": "2009-12-31T16:31:17.000Z",
  "title": "Quasisymmetric Maps on the Boundary of a Negatively Curved Solvable Lie Group",
  "authors": [
    "Xiangdong Xie"
  ],
  "categories": [
    "math.GR",
    "math.CV"
  ],
  "abstract": "We describe all the self quasisymmetric maps on the ideal boundary of a particular negatively curved solvable Lie group. As applications, we prove a Liouville type theorem, and derive some rigidity properties for quasiisometries of the solvable Lie group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-12-31T16:31:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65",
      "30C65",
      "53C20"
    ],
    "keywords": [
      "negatively curved solvable lie group",
      "self quasisymmetric maps",
      "liouville type theorem",
      "rigidity properties",
      "ideal boundary"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1001.0148X"
    }
  }
}