{
  "id": "1407.1683",
  "version": "v1",
  "published": "2014-07-07T12:27:16.000Z",
  "updated": "2014-07-07T12:27:16.000Z",
  "title": "A note on the compactness theorem for 4d Ricci shrinkers",
  "authors": [
    "Robert Haslhofer",
    "Reto Müller"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "In arXiv:1005.3255 we proved an orbifold Cheeger-Gromov compactness theorem for complete 4d Ricci shrinkers with a lower bound for the entropy, an upper bound for the Euler characterisic, and a lower bound for the gradient of the potential at large distances. In this note, we show that the last two assumptions in fact can be removed. The key ingredient is a recent estimate of Cheeger-Naber arXiv:1406.6534.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-07T12:27:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lower bound",
      "complete 4d ricci shrinkers",
      "orbifold cheeger-gromov compactness theorem",
      "large distances",
      "euler characterisic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.1683H"
    }
  }
}