{
  "id": "1603.06539",
  "version": "v1",
  "published": "2016-03-21T19:08:05.000Z",
  "updated": "2016-03-21T19:08:05.000Z",
  "title": "The index of shrinkers of the mean curvature flow",
  "authors": [
    "Zihan Hans Liu"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "We introduce a notion of index for shrinkers of the mean curvature flow. We then prove a gap theorem for the index of rotationally symmetric immersed shrinkers in R^3, namely, that such shrinkers have index at least 3, unless they are one of the stable ones: the sphere, the cylinder, or the plane. We also provide a generalization of the result to higher dimensions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-03-21T19:08:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mean curvature flow",
      "gap theorem",
      "rotationally symmetric immersed shrinkers",
      "higher dimensions",
      "generalization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160306539L"
    }
  }
}