{
  "id": "0905.3840",
  "version": "v1",
  "published": "2009-05-23T18:37:56.000Z",
  "updated": "2009-05-23T18:37:56.000Z",
  "title": "Blow-up phenomena for the Yamabe equation",
  "authors": [
    "S. Brendle"
  ],
  "comment": "Published paper",
  "journal": "J. Amer. Math. Soc. 21, 951-979 (2008)",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "Let (M,g) be a compact Riemannian manifold of dimension n \\geq 3. The Compactness Conjecture asserts that the set of constant scalar curvature metrics in the conformal class of g is compact unless (M,g) is conformally equivalent to the round sphere. In this paper, we construct counterexamples to this conjecture in dimensions n \\geq 52.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-05-23T18:37:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "yamabe equation",
      "blow-up phenomena",
      "constant scalar curvature metrics",
      "compactness conjecture asserts",
      "compact riemannian manifold"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "J. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}