{
  "id": "1703.10922",
  "version": "v1",
  "published": "2017-03-31T14:43:10.000Z",
  "updated": "2017-03-31T14:43:10.000Z",
  "title": "Topology of automorphism groups of parabolic geometries",
  "authors": [
    "C. Frances",
    "K. Melnick"
  ],
  "comment": "33 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "We prove for the automorphism group of an arbitrary parabolic geometry that the $C^0$ and $C^{\\infty}$ topologies coincide, and the group admits the structure of a Lie group in this topology. We further show that this automorphism group is closed in the homeomorphism group of the underlying manifold.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-31T14:43:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57S05",
      "57S20",
      "53C10"
    ],
    "keywords": [
      "automorphism group",
      "arbitrary parabolic geometry",
      "homeomorphism group",
      "topologies coincide"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}