{
  "id": "math/0407417",
  "version": "v2",
  "published": "2004-07-24T15:32:17.000Z",
  "updated": "2006-07-16T18:46:12.000Z",
  "title": "Deformations of group actions",
  "authors": [
    "David Fisher"
  ],
  "comment": "Slight revision. A few clarifications made, one reference added",
  "categories": [
    "math.DS",
    "math.DG"
  ],
  "abstract": "Let $G$ be a noncompact real algebraic group and $\\G<G$ a lattice. One purpose of this paper is to show that there is an smooth, volume preserving, mixing action of $G$ or $\\G$ on a compact manifold which admits a smooth deformation. We also describe some other, rather special, deformations when $G=SO(1,n)$ and provide a simple proof that any action of a compact Lie group is locally rigid.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-07-16T18:46:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C85",
      "53C24"
    ],
    "keywords": [
      "group actions",
      "noncompact real algebraic group",
      "compact lie group",
      "compact manifold",
      "simple proof"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......7417F"
    }
  }
}