{
  "id": "1211.0764",
  "version": "v1",
  "published": "2012-11-05T05:06:31.000Z",
  "updated": "2012-11-05T05:06:31.000Z",
  "title": "Stability of the surface area preserving mean curvature flow in Euclidean space",
  "authors": [
    "Zheng Huang",
    "Longzhi Lin"
  ],
  "comment": "17 pages",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "We show that the surface area preserving mean curvature flow in Euclidean space exists for all time and converges exponentially to a round sphere, if initially the L^2-norm of the traceless second fundamental form is small (but the initial hypersurface is not necessarily convex).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-11-05T05:06:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C44",
      "58J35"
    ],
    "keywords": [
      "area preserving mean curvature flow",
      "surface area preserving mean curvature",
      "euclidean space",
      "second fundamental form"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1211.0764H"
    }
  }
}