{
  "id": "math/0101111",
  "version": "v1",
  "published": "2001-01-12T16:26:11.000Z",
  "updated": "2001-01-12T16:26:11.000Z",
  "title": "Eigenvalue estimates for the Dirac-Schrödinger operators",
  "authors": [
    "Bertrand Morel"
  ],
  "comment": "22 pages, LaTeX, to appear in Journal of Geometry and Physics",
  "journal": "Journal of Geometry and Physics, 38 (2001) 57-74",
  "categories": [
    "math.DG"
  ],
  "abstract": "We give new estimates for the eigenvalues of the hypersurface Dirac operator in terms of the intrinsic energy-momentum tensor, the mean curvature and the scalar curvature. We also discuss their limiting cases as well as the limiting cases of the estimates obtained by X. Zhang and O. Hijazi in [13] and [10]. We compare these limiting cases with those corresponding to the Friedrich and Hijazi inequalities. We conclude by comparing these results to intrinsic estimates for the Dirac-Schr\\\"odinger operator D_f = D - f/2.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-01-12T16:26:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C27",
      "53C40",
      "53C80",
      "58G25"
    ],
    "keywords": [
      "dirac-schrödinger operators",
      "eigenvalue estimates",
      "limiting cases",
      "hypersurface dirac operator",
      "intrinsic energy-momentum tensor"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}