{
  "id": "1111.6063",
  "version": "v2",
  "published": "2011-11-25T17:38:11.000Z",
  "updated": "2012-03-19T11:43:55.000Z",
  "title": "New results toward the classification of Biharmonic submanifolds in $\\mathbb{S}^{n}$",
  "authors": [
    "A. Balmus",
    "S. Montaldo",
    "C. Oniciuc"
  ],
  "comment": "18 pages. Final Version to appear in Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica",
  "categories": [
    "math.DG"
  ],
  "abstract": "We prove some new rigidity results for proper biharmonic immersions in ${\\mathbb S}^n$ of the following types: Dupin hypersurfaces; hypersurfaces, both compact and non-compact, with bounded norm of the second fundamental form; hypersurfaces satisfying intrinsic properties; PMC submanifolds; parallel submanifolds.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-03-19T11:43:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "biharmonic submanifolds",
      "classification",
      "proper biharmonic immersions",
      "hypersurfaces satisfying intrinsic properties",
      "second fundamental form"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1111.6063B"
    }
  }
}