{
  "id": "1412.5479",
  "version": "v1",
  "published": "2014-12-17T16:58:06.000Z",
  "updated": "2014-12-17T16:58:06.000Z",
  "title": "Biharmonic hypersurfaces in space forms with three distinct principal curvatures",
  "authors": [
    "Ram Shankar Gupta"
  ],
  "comment": "9 pages. arXiv admin note: text overlap with arXiv:0709.2023 by other authors",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this paper, we have studied biharmonic hypersurfaces in space form $\\bar{M}^{n+1}(c)$ with constant sectional curvature $c$. We have obtained that biharmonic hypersurfaces $M^{n}$ with at most three distinct principal curvatures in $\\bar{M}^{n+1}(c)$ has constant mean curvature. We also obtain the full classification of biharmonic hypersurfaces with at most three distinct principal curvatures in arbitrary dimension space form $\\bar{M}^{n+1}(c)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-17T16:58:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53D12",
      "53C40",
      "53C42"
    ],
    "keywords": [
      "distinct principal curvatures",
      "biharmonic hypersurfaces",
      "arbitrary dimension space form",
      "constant mean curvature",
      "constant sectional curvature"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1412.5479S"
    }
  }
}