{
  "id": "math/0308227",
  "version": "v1",
  "published": "2003-08-25T10:07:35.000Z",
  "updated": "2003-08-25T10:07:35.000Z",
  "title": "A locally symmetric Kaehler Einstein structure on the cotangent bundle of a space form",
  "authors": [
    "D. D. Porosniuc"
  ],
  "comment": "12 pages, LaTeX2e",
  "journal": "to appear in \"Balkan Journal of Geometry and Its Applications\" Vol.9, 2004",
  "categories": [
    "math.DG"
  ],
  "abstract": "We obtain a locally symmetric Kaehler Einstein structure on the cotangent bundle of a Riemannian manifold of negative constant sectional curvature. Similar results are obtained on a tube around zero section in the cotangent bundle, in the case of a Riemannian manifold of positive constant sectional curvature. The obtained Kaehler Einstein structures cannot have constant holomorphic sectional curvature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-08-25T10:07:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C07",
      "53C15",
      "53C55"
    ],
    "keywords": [
      "locally symmetric kaehler einstein structure",
      "cotangent bundle",
      "space form",
      "constant sectional curvature",
      "riemannian manifold"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......8227P"
    }
  }
}