{
  "id": "1107.4260",
  "version": "v2",
  "published": "2011-07-21T13:10:33.000Z",
  "updated": "2012-02-22T03:27:23.000Z",
  "title": "Weyl-Schouten Theorem for symmetric spaces",
  "authors": [
    "Yuri Nikolayevsky"
  ],
  "comment": "Changed some proofs; corrected typos",
  "doi": "10.1112/plms/pds076",
  "categories": [
    "math.DG"
  ],
  "abstract": "Let N be a symmetric space of dimension n > 5 whose de Rham decomposition contains no factors of constant curvature and let W be the Weyl tensor of N at some point. We prove that a Riemannian manifold whose Weyl tensor at every point is a positive multiple of W is conformally equivalent to N (the case N = R^n is the Weyl-Schouten Theorem).",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-02-22T03:27:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53A30",
      "53C35",
      "53B20"
    ],
    "keywords": [
      "symmetric space",
      "weyl-schouten theorem",
      "weyl tensor",
      "rham decomposition contains",
      "riemannian manifold"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1107.4260N"
    }
  }
}