{
  "id": "2103.07702",
  "version": "v1",
  "published": "2021-03-13T12:07:54.000Z",
  "updated": "2021-03-13T12:07:54.000Z",
  "title": "A sharp convergence theorem for the mean curvature flow in spheres I",
  "authors": [
    "Dong Pu"
  ],
  "comment": "21 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this paper, we prove a sharp convergence theorem for the mean curvature flow of arbitrary codimension in spheres which improves Baker's convergence theorem. In particular, we obtain a new differentiable sphere theorem for submanifolds in spheres.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-13T12:07:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C44"
    ],
    "keywords": [
      "mean curvature flow",
      "sharp convergence theorem",
      "bakers convergence theorem",
      "differentiable sphere theorem",
      "arbitrary codimension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}