{
  "id": "math/0012261",
  "version": "v1",
  "published": "2000-12-29T11:19:14.000Z",
  "updated": "2000-12-29T11:19:14.000Z",
  "title": "Eigenvalues of the Dirac Operator on Manifolds with Boundary",
  "authors": [
    "Oussama Hijazi",
    "Sebastian Montiel",
    "Xiao Zhang"
  ],
  "comment": "13 pages, LaTex",
  "doi": "10.1007/s002200100475",
  "categories": [
    "math.DG",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Under standard local boundary conditions or certain global APS boundary conditions, we get lower bounds for the eigenvalues of the Dirac operator on compact spin manifolds with boundary. Limiting cases are characterized by the existence of real Killing spinors and the minimality of the boundary.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-12-29T11:19:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C27",
      "53C40",
      "53C80",
      "58G25"
    ],
    "keywords": [
      "dirac operator",
      "eigenvalues",
      "global aps boundary conditions",
      "standard local boundary conditions",
      "compact spin manifolds"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer",
      "journal": "Commun. Math. Phys."
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}