{
  "id": "1610.04095",
  "version": "v1",
  "published": "2016-10-13T14:23:12.000Z",
  "updated": "2016-10-13T14:23:12.000Z",
  "title": "Lorentz Hypersurfaces satisfying $\\triangle \\vec {H}= α\\vec {H}$ with non diagonal shape operator",
  "authors": [
    "Deepika",
    "Andreas Arvanitoyeorgos",
    "Ram Shankar Gupta"
  ],
  "comment": "13 pages. arXiv admin note: text overlap with arXiv:1610.03005",
  "categories": [
    "math.DG"
  ],
  "abstract": "We study Lorentz hypersurfaces $M_{1}^{n}$ in $E_{1}^{n+1}$ satisfying $\\triangle \\vec {H}= \\alpha \\vec {H}$ with non diagonal shape operator, having complex eigenvalues. We prove that every such Lorentz hypersurface in $E_{1}^{n+1}$ having at most five distinct principal curvatures has constant mean curvature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-13T14:23:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53D12",
      "53C40",
      "53C42"
    ],
    "keywords": [
      "non diagonal shape operator",
      "lorentz hypersurfaces satisfying",
      "distinct principal curvatures",
      "study lorentz hypersurfaces",
      "constant mean curvature"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}