{
  "id": "0908.2264",
  "version": "v1",
  "published": "2009-08-16T21:28:45.000Z",
  "updated": "2009-08-16T21:28:45.000Z",
  "title": "Convergence of Ricci flow on $\\mathbb{R}^2$ to flat space",
  "authors": [
    "James Isenberg",
    "Mohammad Javaheri"
  ],
  "comment": "9 pages",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "We prove that, starting at an initial metric $g(0)=e^{2u_0}(dx^2+dy^2)$ on $\\mathbb{R}^2$ with bounded scalar curvature and bounded $u_0$, the Ricci flow $\\partial_t g(t)=-R_{g(t)}g(t)$ converges to a flat metric on $\\mathbb{R}^2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-08-16T21:28:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C44",
      "35G25"
    ],
    "keywords": [
      "ricci flow",
      "flat space",
      "convergence",
      "flat metric"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0908.2264I"
    }
  }
}