{
  "id": "0801.0650",
  "version": "v2",
  "published": "2008-01-04T10:16:45.000Z",
  "updated": "2008-01-11T02:12:32.000Z",
  "title": "A proof of the DDVV conjecture and its equality case",
  "authors": [
    "Jianquan Ge",
    "Zizhou Tang"
  ],
  "comment": "10 pages,submitted, a revised version with minor corrections to Cor1.2",
  "journal": "Pacific Journal of Mathematics, Vol. 237 (2008), No. 1, 87-95",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this paper, we give a proof of the DDVV conjecture which is a pointwise inequality involving the scalar curvature, the normal scalar curvature and the mean curvature on a submanifold of a real space form. Furthermore we solved the problem of its equality case.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-01-11T02:12:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C42"
    ],
    "keywords": [
      "equality case",
      "ddvv conjecture",
      "real space form",
      "normal scalar curvature",
      "mean curvature"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0801.0650G"
    }
  }
}