{
  "id": "0801.0829",
  "version": "v1",
  "published": "2008-01-05T23:59:07.000Z",
  "updated": "2008-01-05T23:59:07.000Z",
  "title": "Rigidity of Conformally Compact Manifolds with the Round Sphere as the Conformal Infinity",
  "authors": [
    "Satyaki Dutta"
  ],
  "comment": "23 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this paper we prove that under a lower bound on the Ricci curvature and an asymptotic assumption on the scalar curvature, a complete conformally compact manifold $(M^{n+1},g)$, with a pole $p$ and with the conformal infinity in the conformal class of the round sphere, has to be the hyperbolic space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-01-05T23:59:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "round sphere",
      "conformal infinity",
      "complete conformally compact manifold",
      "scalar curvature",
      "ricci curvature"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}