{
  "id": "1405.5307",
  "version": "v4",
  "published": "2014-05-21T06:35:43.000Z",
  "updated": "2014-11-30T05:28:20.000Z",
  "title": "H-hypersurfaces with at most 3 distinct principal curvatures in the Euclidean spaces",
  "authors": [
    "Nurettin Cenk Turgay"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "In this paper, we study hypersurfaces of Euclidean spaces with arbitrary dimension. First, we obtain some results on $\\mbox{H}$-hypersurfaces. Then, we give the complete classification of $\\mbox{H}$-hypersurfaces with 3 distinct curvatures. We also give explicit examples.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-06-07T11:48:47.000Z",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v4",
      "updated": "2014-11-30T05:28:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C40",
      "53C42",
      "53C50"
    ],
    "keywords": [
      "distinct principal curvatures",
      "euclidean spaces",
      "h-hypersurfaces",
      "arbitrary dimension",
      "study hypersurfaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1405.5307C"
    }
  }
}