{
  "id": "0912.1451",
  "version": "v1",
  "published": "2009-12-08T10:15:00.000Z",
  "updated": "2009-12-08T10:15:00.000Z",
  "title": "Eigenvalue Estimates For The Dirac Operator On Kaehler-Einstein Manifolds Of Even Complex Dimension",
  "authors": [
    "K. -D. Kirchberg"
  ],
  "comment": "10 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "In K\\\"ahler-Einstein case of positive scalar curvature and even complex dimension, an improved lower bound for the first eigenvalue of the Dirac operator is given. It is shown by a general construction that there are manifolds for which this new lower bound itself is the first eigenvalue.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-12-08T10:15:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C27",
      "58J50",
      "83C60"
    ],
    "keywords": [
      "dirac operator",
      "complex dimension",
      "eigenvalue estimates",
      "kaehler-einstein manifolds",
      "lower bound"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0912.1451K"
    }
  }
}