{
  "id": "math/0509034",
  "version": "v1",
  "published": "2005-09-02T09:23:34.000Z",
  "updated": "2005-09-02T09:23:34.000Z",
  "title": "Vafa-Witten bound on the complex projective space",
  "authors": [
    "Hélène Davaux",
    "Maung Min-Oo"
  ],
  "comment": "6 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "We prove that the largest first eigenvalue of the Dirac operator among all hermitian metrics on the complex projective space of odd dimension $m$, larger than the Fubini-Study metric is bounded by $(2m(m+1))^{1/2}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-09-02T09:23:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C27",
      "58J50",
      "58J60"
    ],
    "keywords": [
      "complex projective space",
      "vafa-witten bound",
      "largest first eigenvalue",
      "odd dimension",
      "fubini-study metric"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......9034D"
    }
  }
}