{
  "id": "math/0606786",
  "version": "v3",
  "published": "2006-06-30T08:50:53.000Z",
  "updated": "2006-10-17T10:10:03.000Z",
  "title": "The Ricci tensor of SU(3)-manifolds",
  "authors": [
    "Lucio Bedulli",
    "Luigi Vezzoni"
  ],
  "comment": "25 pages. To appear in \"Journal of Geometry and Physics\". Corollary 4.1 is modified. Some typos are corrected",
  "journal": "J. Geom. Phys. 57 (2007), n. 4, 1125-1146",
  "doi": "10.1016/j.geomphys.2006.09.007",
  "categories": [
    "math.DG",
    "math.SG"
  ],
  "abstract": "Following the approach of Bryant we study the intrinsic torsion of a SU(3)-manifold deriving a number of formulae for the Ricci and the scalar curvature in terms of torsion forms. As a consequence we prove that in some special cases the Einstein condition forces the vanishing of the intrinsic torsion.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2006-10-17T10:10:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C10",
      "53C15",
      "53D15",
      "53C29"
    ],
    "keywords": [
      "ricci tensor",
      "intrinsic torsion",
      "einstein condition forces",
      "torsion forms",
      "special cases"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}