{
  "id": "math/0103095",
  "version": "v1",
  "published": "2001-03-15T10:38:39.000Z",
  "updated": "2001-03-15T10:38:39.000Z",
  "title": "On eigenvalue estimates for the Dirac operator",
  "authors": [
    "N. Ginoux",
    "B. Morel"
  ],
  "comment": "15 pages",
  "categories": [
    "math.DG",
    "math.SG"
  ],
  "abstract": "We give lower bounds for the eigenvalues of the submanifold Dirac operator in terms of intrinsic and extrinsic curvature expressions. We also show that the limiting cases give rise to a class generalizing that of Killing spinors. We conclude by translating these results in terms of intrinsic twisted Dirac operators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-03-15T10:38:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C27",
      "53C40",
      "53C80",
      "58G25"
    ],
    "keywords": [
      "eigenvalue estimates",
      "intrinsic twisted dirac operators",
      "extrinsic curvature expressions",
      "submanifold dirac operator",
      "lower bounds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......3095G"
    }
  }
}