{
  "id": "1008.2439",
  "version": "v1",
  "published": "2010-08-14T12:48:50.000Z",
  "updated": "2010-08-14T12:48:50.000Z",
  "title": "A Curvature identity on a 4-dimensional Riemannian manifold",
  "authors": [
    "Y. Euh",
    "J. H. Park",
    "K. Sekigawa"
  ],
  "comment": "10 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "We give a curvature identity derived from the generalized Gauss-Bonnet formula for 4-dimensional compact oriented Riemannian manifolds. We prove that the curvature identity holds on any 4-dimensional Riemannian manifold which is not necessarily compact. We also provide some applications of the identity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-08-14T12:48:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53B20",
      "53C20"
    ],
    "keywords": [
      "compact oriented riemannian manifolds",
      "curvature identity holds",
      "generalized gauss-bonnet formula",
      "applications"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1008.2439E"
    }
  }
}