{
  "id": "2103.12577",
  "version": "v1",
  "published": "2021-03-23T14:28:41.000Z",
  "updated": "2021-03-23T14:28:41.000Z",
  "title": "Remarks on biharmonic hypersurfaces in space forms",
  "authors": [
    "Wagner Oliveira Costa-Filho"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "We consider closed biharmonic hypersurfaces in the Euclidean sphere and prove a rigidity result under a suitable condition on the scalar curvature. Moreover, we establish an integral formula involving the position vector for biharmonic hypersurfaces in space forms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-23T14:28:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C43",
      "53C42",
      "53C24"
    ],
    "keywords": [
      "space forms",
      "position vector",
      "closed biharmonic hypersurfaces",
      "integral formula",
      "euclidean sphere"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}