{
  "id": "0710.2033",
  "version": "v3",
  "published": "2007-10-10T14:48:08.000Z",
  "updated": "2008-04-23T16:14:33.000Z",
  "title": "Ricci curvature and conformality of Riemannian manifolds to spheres",
  "authors": [
    "Salem Eljazi",
    "Najoua Gamara",
    "Habiba Guemri"
  ],
  "comment": "8 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this paper we give bounds for the first eigenvalue of the conformal Laplacian and the Yamabe invariant of a compact Riemannian manifold, by using conditions on the Ricci curvature and the diameter and deduce certain conditions on the manifold to be conformal to a sphere.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-04-23T16:14:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C21",
      "53C25",
      "58J60",
      "58J70"
    ],
    "keywords": [
      "ricci curvature",
      "conformality",
      "compact riemannian manifold",
      "conformal laplacian",
      "yamabe invariant"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0710.2033E"
    }
  }
}