{
  "id": "1603.08726",
  "version": "v1",
  "published": "2016-03-29T11:33:14.000Z",
  "updated": "2016-03-29T11:33:14.000Z",
  "title": "Short-time existence of the Ricci flow on complete, non-collapsed $3$-manifolds with Ricci curvature bounded from below",
  "authors": [
    "Raphael Hochard"
  ],
  "comment": "39 pages, 6 figures",
  "categories": [
    "math.DG"
  ],
  "abstract": "We prove that for any complete three-manifold with a lower Ricci curvature bound and a lower bound on the volume of balls of radius one, a solution to the Ricci flow exists for short time. Actually our proof also yields a (non-canonical) way to flow and regularize some interior region of a non-complete initial data satisfying the aformentioned bounds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-03-29T11:33:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C44"
    ],
    "keywords": [
      "ricci flow",
      "short-time existence",
      "lower ricci curvature bound",
      "lower bound",
      "short time"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 39,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160308726H"
    }
  }
}