{
  "id": "math/0411010",
  "version": "v1",
  "published": "2004-10-31T15:17:16.000Z",
  "updated": "2004-10-31T15:17:16.000Z",
  "title": "Mean curvature flow with flat normal bundles",
  "authors": [
    "Knut Smoczyk",
    "Guofang Wang",
    "Y. L. Xin"
  ],
  "comment": "19 pages, 1 figure",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "We show that flatness of the normal bundle is preserved under the mean curvature flow in the Euclidean space and use this to generalize a classical result for hypersurfaces due to Ecker-Huisken in the case of submanifolds with arbitrary codimension.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-10-31T15:17:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C44"
    ],
    "keywords": [
      "mean curvature flow",
      "flat normal bundles",
      "euclidean space",
      "arbitrary codimension",
      "hypersurfaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....11010S"
    }
  }
}