{
  "id": "1008.1926",
  "version": "v2",
  "published": "2010-08-11T14:56:08.000Z",
  "updated": "2010-10-05T15:13:57.000Z",
  "title": "Anisotropic isoparametric hypersurfaces in Euclidean spaces",
  "authors": [
    "Jianquan Ge",
    "Hui Ma"
  ],
  "journal": "Ann. Glob. Anal. Geom. 41(2012), 347-355",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this note, we give a classification of complete anisotropic isoparametric hypersurfaces, i.e., hypersurfaces with constant anisotropic principal curvatures, in Euclidean spaces, which is in analogue with the classical case for isoparametric hypersurfaces in Euclidean spaces. On the other hand, by an example of local anisotropic isoparametric surface constructed by B. Palmer, we find that anisotropic isoparametric hypersurfaces have both local and global aspects as in the theory of proper Dupin hypersurfaces.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-10-05T15:13:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C40"
    ],
    "keywords": [
      "euclidean spaces",
      "constant anisotropic principal curvatures",
      "complete anisotropic isoparametric hypersurfaces",
      "proper dupin hypersurfaces",
      "local anisotropic isoparametric surface"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1008.1926G"
    }
  }
}