{
  "id": "math/0603512",
  "version": "v1",
  "published": "2006-03-21T16:19:08.000Z",
  "updated": "2006-03-21T16:19:08.000Z",
  "title": "Optimal eigenvalues estimate for the Dirac operator on domains with boundary",
  "authors": [
    "Simon Raulot"
  ],
  "comment": "10 pages",
  "journal": "Letters in Mathematical Physics 73 (2005) 135--145",
  "categories": [
    "math.DG"
  ],
  "abstract": "We give a lower bound for the eigenvalues of the Dirac operator on a compact domain of a Riemannian spin manifold under the $\\MIT$ bag boundary condition. The limiting case is characterized by the existence of an imaginary Killing spinor.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-03-21T16:19:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C27",
      "53C40",
      "53C27",
      "53C40",
      "53C80",
      "58G25",
      "83C60"
    ],
    "keywords": [
      "optimal eigenvalues estimate",
      "dirac operator",
      "bag boundary condition",
      "riemannian spin manifold",
      "compact domain"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}