{
  "id": "math/0211230",
  "version": "v1",
  "published": "2002-11-14T18:17:27.000Z",
  "updated": "2002-11-14T18:17:27.000Z",
  "title": "A lower bound for the diameter of solutions to the Ricci flow with nonzero $H^{1}(M^{n};R)$",
  "authors": [
    "Tom Ilmanen",
    "Dan Knopf"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "We obtain a lower bound for the diameter of a solution to the Ricci flow on a compact manifold with nonvanishing first real cohomology. A consequence of our result is an affirmative answer to Hamilton's conjecture that a product metric on $(S^{1}\\times S^{n-1}$ cannot arise as a final time limit flow.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-11-14T18:17:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C20"
    ],
    "keywords": [
      "lower bound",
      "ricci flow",
      "final time limit flow",
      "nonvanishing first real cohomology",
      "compact manifold"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.....11230I"
    }
  }
}