{
  "id": "math/0302242",
  "version": "v2",
  "published": "2003-02-19T20:54:59.000Z",
  "updated": "2011-04-17T21:28:11.000Z",
  "title": "Mean Curvature Flows and Isotopy of Maps Between Spheres",
  "authors": [
    "Mao-Pei Tsui",
    "Mu-Tao Wang"
  ],
  "comment": "21 pages",
  "journal": "Comm. Pure Appl. Math. 57 (2004), no. 8, 1110-1126",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "Let f be a smooth map between unit spheres of possibly different dimensions. We prove the global existence and convergence of the mean curvature flow of the graph of f under various conditions. A corollary is that any area-decreasing map between unit spheres (of possibly different dimensions) is homotopic to a constant map.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-04-17T21:28:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C44"
    ],
    "keywords": [
      "mean curvature flow",
      "unit spheres",
      "dimensions",
      "constant map",
      "smooth map"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......2242T"
    }
  }
}