{
  "id": "1710.04942",
  "version": "v1",
  "published": "2017-10-13T14:33:24.000Z",
  "updated": "2017-10-13T14:33:24.000Z",
  "title": "Local rigidity of certain actions of nilpotent-by-cyclic groups on the sphere",
  "authors": [
    "Mao Okada"
  ],
  "comment": "32 pages, no figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "Let G = SU(n,1), n >1 be the orientation-preserving isometry group of the complex hyperbolic space with an Iwasawa decomposition G = KAN. We prove local rigidity of a family of certain actions of a subgroup of AN on the imaginary boundary of the complex hyperbolic space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-13T14:33:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "local rigidity",
      "nilpotent-by-cyclic groups",
      "complex hyperbolic space",
      "imaginary boundary",
      "iwasawa decomposition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}