{
  "id": "0909.2313",
  "version": "v1",
  "published": "2009-09-12T09:09:24.000Z",
  "updated": "2009-09-12T09:09:24.000Z",
  "title": "Degeneration of shrinking Ricci solitons",
  "authors": [
    "Zhenlei Zhang"
  ],
  "comment": "16 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "Let $(Y,d)$ be a Gromov-Hausdorff limit of closed shrinking Ricci solitons with uniformly upper bounded diameter and lower bounded volume. We prove that off a closed subset of codimension at least 2, $Y$ is a smooth manifold satisfying a shrinking Ricci soliton equation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-09-12T09:09:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C25"
    ],
    "keywords": [
      "degeneration",
      "shrinking ricci soliton equation",
      "gromov-hausdorff limit",
      "uniformly upper bounded diameter",
      "lower bounded volume"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0909.2313Z"
    }
  }
}