{
  "id": "2108.06196",
  "version": "v1",
  "published": "2021-08-13T12:30:22.000Z",
  "updated": "2021-08-13T12:30:22.000Z",
  "title": "Survey On The Biharmonic Hypersurfaces In Terms Of The Induced Metric Of Tensor Ricci",
  "authors": [
    "Najma Mosadegh",
    "Esmaiel Abedi"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "In this article, we study the biharmonic hypersurfaces in the Sasakian space form with the induced metric of tensor Ricci. We find the existence necessary and sufficient condition of the biharmonic hypersurfaces there. We show that the biharmonic Hopf hypersurfaces are minimal where gradient of the mean curvature is in direction of the structural vector fields. Furthermore, we prove that does not exist any biharmonic Hopf hypersurfaces when the gradient of the mean curvature is a principal direction.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-08-13T12:30:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "biharmonic hypersurfaces",
      "tensor ricci",
      "induced metric",
      "biharmonic hopf hypersurfaces",
      "mean curvature"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}