{
  "id": "1002.3765",
  "version": "v2",
  "published": "2010-02-19T15:52:23.000Z",
  "updated": "2011-09-20T13:49:40.000Z",
  "title": "Convergence of mean curvature flows with surgery",
  "authors": [
    "Joseph Lauer"
  ],
  "comment": "6 pages",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "Huisken and Sinestrari have recently defined a surgery process for mean curvature flow when the initial data is a two-convex hypersurface. The process depends on a parameter H. Its role is to initiate a surgery when the maximum of the mean curvature of the evolving hypersurface becomes H, and to control the scale at which each surgery is performed. We prove that as H goes to infinity the surgery process converges to level set flow.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-09-20T13:49:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C44"
    ],
    "keywords": [
      "mean curvature flow",
      "convergence",
      "level set flow",
      "surgery process converges",
      "initial data"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1002.3765L"
    }
  }
}