{
  "id": "1510.07547",
  "version": "v1",
  "published": "2015-10-26T16:53:07.000Z",
  "updated": "2015-10-26T16:53:07.000Z",
  "title": "Intrinsic flat and Gromov-Hausdorff convergence of manifolds with Ricci curvature bounded below",
  "authors": [
    "Rostislav Matveev",
    "Jacobus W. Portegies"
  ],
  "comment": "18 pages",
  "categories": [
    "math.DG",
    "math.MG"
  ],
  "abstract": "We show that for a noncollapsing sequence of closed, connected, oriented Riemannian manifolds with Ricci curvature uniformly bounded from below and diameter uniformly bounded above, Gromov-Hausdorff convergence essentially agrees with intrinsic flat convergence.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-26T16:53:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C23",
      "49Q15"
    ],
    "keywords": [
      "gromov-hausdorff convergence",
      "ricci curvature",
      "intrinsic flat convergence",
      "oriented riemannian manifolds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}