{
  "id": "1101.0516",
  "version": "v2",
  "published": "2011-01-03T13:10:18.000Z",
  "updated": "2012-02-02T02:49:55.000Z",
  "title": "A Gap Theorem for Self-shrinkers of the Mean Curvature Flow in Arbitrary Codimension",
  "authors": [
    "Huai-Dong Cao",
    "Haizhong Li"
  ],
  "comment": "11 pages, minor corrections, accepted by Calc. Var. Partial Differential Equations",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this paper, we prove a classification theorem for self-shrinkers of the mean curvature flow with $|A|^2\\le 1$ in arbitrary codimension. In particular, this implies a gap theorem for self-shrinkers in arbitrary codimension.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-02-02T02:49:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mean curvature flow",
      "arbitrary codimension",
      "gap theorem",
      "self-shrinkers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1101.0516C"
    }
  }
}