{
  "id": "1909.06601",
  "version": "v1",
  "published": "2019-09-14T14:23:24.000Z",
  "updated": "2019-09-14T14:23:24.000Z",
  "title": "Asymptotic Behavior and Stability of Mean Curvature Flow with a Conical End",
  "authors": [
    "Siao-Hao Guo"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "If the initial hypersurface of an immortal mean curvature flow is asymptotic to a regular cone whose entropy is small, the flow will become asymptotically self-expanding. Moreover, the expander that gives rise to the limiting flow is asymptotically stable as an equilibrium solution of the normalized mean curvature flow.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-14T14:23:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C44"
    ],
    "keywords": [
      "asymptotic behavior",
      "conical end",
      "immortal mean curvature flow",
      "normalized mean curvature flow",
      "initial hypersurface"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}