{
  "id": "1702.02608",
  "version": "v1",
  "published": "2017-02-08T20:54:41.000Z",
  "updated": "2017-02-08T20:54:41.000Z",
  "title": "Simons' equation and minimal hypersurfaces in space forms",
  "authors": [
    "Biao Wang"
  ],
  "comment": "16 pages, 6 figures",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this paper, we show that the catenoids and the Clifford minimal hypersurfaces are the only complete minimal hypersurfaces satisfying the Simons' equation (3.9) in the space forms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-08T20:54:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53A10",
      "53C42"
    ],
    "keywords": [
      "space forms",
      "clifford minimal hypersurfaces",
      "complete minimal hypersurfaces satisfying"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}