{
  "id": "1310.8373",
  "version": "v2",
  "published": "2013-10-31T03:15:44.000Z",
  "updated": "2015-06-23T05:20:17.000Z",
  "title": "Lipschitz-Volume rigidity on limit spaces with Ricci curvature bounded from below",
  "authors": [
    "Nan Li",
    "Feng Wang"
  ],
  "journal": "Differential Geom. Appl., 35, (2014), 50-55",
  "categories": [
    "math.DG"
  ],
  "abstract": "We prove a Lipschitz-Volume rigidity theorem for the non-collapsed Gromov-Hausdorff limits of manifolds with Ricci curvature bounded from below. This is a counterpart of the Lipschitz-Volume rigidity in Alexandrov geometry.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-10-31T03:15:44.000Z",
      "title": "Volume rigidity on limit spaces with Ricci curvature bounded from below",
      "abstract": "On the non-collapsed Gromov-Hausdorff limits of manifolds with Ricci curvature bounded from below, we prove a geometric rigidity theorem respect to the volume and the existence of a 1-Lipschitz function. This is an extension of the volume rigidity results in Alexandrov Geometry.",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-06-23T05:20:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ricci curvature",
      "limit spaces",
      "geometric rigidity theorem respect",
      "volume rigidity results",
      "alexandrov geometry"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.8373L"
    }
  }
}