{
  "id": "1812.09633",
  "version": "v1",
  "published": "2018-12-23T01:48:51.000Z",
  "updated": "2018-12-23T01:48:51.000Z",
  "title": "Canonical almost complex structures on ACH Einstein manifolds",
  "authors": [
    "Yoshihiko Matsumoto"
  ],
  "comment": "27 pages",
  "categories": [
    "math.DG",
    "math.CV"
  ],
  "abstract": "A variational problem for almost complex structures compatible with a given asymptotically complex hyperbolic (ACH) Einstein metric is proposed. Then the known locally unique smooth assignment of an Einstein ACH metric to a given conformal infinity is enhanced to that of a pair of such a metric and a critical almost complex structure. It is also shown that the asymptotic expansion of a critical almost complex structure is determined locally by the conformal infinity up to a certain order.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-12-23T01:48:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C15",
      "32T15",
      "32V15",
      "53B35",
      "53C25"
    ],
    "keywords": [
      "complex structure",
      "ach einstein manifolds",
      "conformal infinity",
      "locally unique smooth assignment",
      "einstein ach metric"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}