{
  "id": "math/0703187",
  "version": "v1",
  "published": "2007-03-07T07:45:45.000Z",
  "updated": "2007-03-07T07:45:45.000Z",
  "title": "Integral formula of Minkowski type and new characterization of the Wulff shape",
  "authors": [
    "Yijun He",
    "Haizhong Li"
  ],
  "comment": "10 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "Given a positive function F on Sn which satisfies a convexity condition, we introduce the r-th anisotropic mean curvature Mr for hypersurfaces in Rn+1 which is a generalization of the usual r-th mean curvature Hr. We get integral formulas of Minkowski type for compact hypersurfaces in Rn+1. We give some new characterizations of the Wulff shape by use of our integral formulas of Minkowski type, in case F = 1 which reduces to some well-known results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-03-07T07:45:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C42",
      "53A30",
      "53B25"
    ],
    "keywords": [
      "integral formula",
      "minkowski type",
      "wulff shape",
      "r-th anisotropic mean curvature mr",
      "usual r-th mean curvature hr"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......3187H"
    }
  }
}