{
  "id": "0904.0186",
  "version": "v3",
  "published": "2009-04-01T15:28:46.000Z",
  "updated": "2010-03-05T05:32:29.000Z",
  "title": "Conformal structures with $G_{2(2)}$-ambient metrics",
  "authors": [
    "Thomas Leistner",
    "Pawel Nurowski"
  ],
  "comment": "V3 is completely rewritten. We simplified all calculations by appropriately changing the metric in the conformal class. To make the paper more self contained, we avoid the use of tractor calculus. A gap in the proof that the ambient metric has holonomy equal to G_2 has been eliminated",
  "journal": "Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. XI (2012), 407-436",
  "categories": [
    "math.DG"
  ],
  "abstract": "We present conformal structures in signature (3,2) for which the holonomy of the Fefferman-Graham ambient metric is equal to the non-compact exceptional Lie group G_{2(2)}. We write down the resulting 8-parameter family of G_{2(2)}-metrics in dimension seven explicitly in an appropriately chosen coordinate system on the ambient space.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-03-05T05:32:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53A30",
      "53B30",
      "53C29"
    ],
    "keywords": [
      "conformal structures",
      "non-compact exceptional lie group",
      "fefferman-graham ambient metric",
      "appropriately chosen coordinate system",
      "ambient space"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0904.0186L"
    }
  }
}