{
  "id": "0709.2104",
  "version": "v2",
  "published": "2007-09-13T15:30:30.000Z",
  "updated": "2008-03-16T17:36:37.000Z",
  "title": "Homogeneous bundles and the first eigenvalue of symmetric spaces",
  "authors": [
    "Leonardo Biliotti",
    "Alessandro Ghigi"
  ],
  "comment": "Some corrections suggested by the referee. To appear on Annales de l'Institut Fourier",
  "categories": [
    "math.DG",
    "math.AG"
  ],
  "abstract": "We prove the stability of the Gieseker point of an irreducible homogeneous bundle over a rational homogeneous space. As an application we get a sharp upper estimate for the first eigenvalue of the Laplacian of an arbitrary Kaehler metric on a compact Hermitian symmetric spaces of ABCD--type.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-03-16T17:36:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "first eigenvalue",
      "homogeneous bundle",
      "compact hermitian symmetric spaces",
      "sharp upper estimate",
      "arbitrary kaehler metric"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0709.2104B"
    }
  }
}