{
  "id": "1207.2642",
  "version": "v1",
  "published": "2012-07-11T14:00:46.000Z",
  "updated": "2012-07-11T14:00:46.000Z",
  "title": "The twisted Spin$^c$ Dirac operator on Kähler submanifolds of the complex projective space",
  "authors": [
    "Georges Habib",
    "Roger Nakad"
  ],
  "categories": [
    "math.DG",
    "math.SP"
  ],
  "abstract": "In this paper, we estimate the eigenvalues of the twisted Dirac operator on K\\\"ahler submanifolds of the complex projective space $CP^m$ and we discuss the sharpness of this estimate for the embedding $CP^d \\hookrightarrow CP^m$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-07-11T14:00:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C15",
      "53C27",
      "53C40"
    ],
    "keywords": [
      "complex projective space",
      "kähler submanifolds",
      "twisted spin",
      "twisted dirac operator",
      "eigenvalues"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1207.2642H"
    }
  }
}