{
  "id": "1704.08900",
  "version": "v1",
  "published": "2017-04-28T12:23:46.000Z",
  "updated": "2017-04-28T12:23:46.000Z",
  "title": "Round spheres are Hausdorff stable under small perturbation of entropy",
  "authors": [
    "Shengwen Wang"
  ],
  "comment": "All comments welcome!",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "We show that if the entropy of any closed hypersurface is close to that of a round hyper-sphere, then it is close to a round sphere in Hausdorff distance. Generalizing the result of \\cite{BW1} to higher dimensions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-28T12:23:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C44"
    ],
    "keywords": [
      "round sphere",
      "small perturbation",
      "hausdorff stable",
      "hausdorff distance",
      "round hyper-sphere"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}