{
  "id": "math/0612426",
  "version": "v1",
  "published": "2006-12-15T00:29:30.000Z",
  "updated": "2006-12-15T00:29:30.000Z",
  "title": "A lower bound for the scalar curvature of the standard solution of the Ricci flow",
  "authors": [
    "Shu-Yu Hsu"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "In this paper we will give a rigorous proof of the lower bound for the scalar curvature of the standard solution of the Ricci flow conjectured by G. Perelman. We will prove that the scalar curvature $R$ of the standard solution satisfies $R(x,t)\\ge C_0/(1-t)\\quad\\forall x\\in\\Bbb{R}^3,0\\le t<1$, for some constant $C_0>0$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-12-15T00:29:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58J35"
    ],
    "keywords": [
      "scalar curvature",
      "lower bound",
      "standard solution satisfies",
      "rigorous proof",
      "ricci flow"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....12426H"
    }
  }
}