{
  "id": "2402.04521",
  "version": "v1",
  "published": "2024-02-07T02:00:37.000Z",
  "updated": "2024-02-07T02:00:37.000Z",
  "title": "Mean curvature flow with multiplicity $2$ convergence in closed manifolds",
  "authors": [
    "Jingwen Chen",
    "Ao Sun"
  ],
  "comment": "18 pages, 3 figures, all comments welcome!",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "We construct new examples of immortal mean curvature flow of smooth embedded connected hypersurfaces in closed manifolds, which converge to minimal hypersurfaces with multiplicity $2$ as time approaches infinity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-02-07T02:00:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "closed manifolds",
      "multiplicity",
      "convergence",
      "immortal mean curvature flow",
      "time approaches infinity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}