{
  "id": "math/0310202",
  "version": "v2",
  "published": "2003-10-14T13:19:11.000Z",
  "updated": "2005-02-03T13:08:07.000Z",
  "title": "Lie algebraic characterization of manifolds",
  "authors": [
    "Janusz Grabowski",
    "Norbert Poncin"
  ],
  "comment": "15 pages",
  "journal": "Central European Journal of Mathematics, 2(5) 2004, pp. 811-825",
  "categories": [
    "math.DG"
  ],
  "abstract": "Results on characterization of manifolds in terms of certain Lie algebras growing on them, especially Lie algebras of differential operators, are reviewed and extended. In particular, we prove that a smooth (real-analytic, Stein) manifold is characterized by the corresponding Lie algebra of linear differential operators, i.e. isomorphisms of such Lie algebras are induced by the appropriate class of diffeomorphisms of the underlaying manifolds.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-02-03T13:08:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B63",
      "13N10",
      "16S32",
      "17B40",
      "17B65",
      "53D17"
    ],
    "keywords": [
      "lie algebraic characterization",
      "linear differential operators",
      "corresponding lie algebra",
      "appropriate class",
      "real-analytic"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....10202G"
    }
  }
}