{
  "id": "1811.02112",
  "version": "v1",
  "published": "2018-11-06T01:32:51.000Z",
  "updated": "2018-11-06T01:32:51.000Z",
  "title": "Compactness of conformally compact Einstein 4-manifolds II",
  "authors": [
    "Sun-Yung A. Chang",
    "Yuxin Ge",
    "Jie Qing"
  ],
  "comment": "26 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this paper, we establish compactness results of some class of conformally compact Einstein 4-manifolds. In the first part of the paper, we improve the earlier results obtained by Chang-Ge. In the second part of the paper, as applications, we derive some compactness results under perturbation conditions when the L^2-norm of the Weyl curvature is small. We also derive the global uniqueness of conformally compact Einstein metrics on the 4-Ball constructed in the earlier work of Graham-Lee.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-11-06T01:32:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C25",
      "53A30",
      "53C21",
      "58J05",
      "53C80"
    ],
    "keywords": [
      "conformally compact einstein metrics",
      "establish compactness results",
      "first part",
      "earlier results",
      "second part"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}