{
  "id": "1009.2090",
  "version": "v3",
  "published": "2010-09-10T20:03:39.000Z",
  "updated": "2012-08-11T00:22:12.000Z",
  "title": "A Normal Form Theorem around Symplectic Leaves",
  "authors": [
    "Marius Crainic",
    "Ioan Marcut"
  ],
  "comment": "32 pages. v3: some proofs were simplified, typos fixed, definitions of well-known notions were left out",
  "journal": "J. Differential Geom. 92 (2012), no. 3, 417-461",
  "categories": [
    "math.DG",
    "math.SG"
  ],
  "abstract": "We prove the Poisson geometric version of the Local Reeb Stability (from foliation theory) and of the Slice Theorem (from equivariant geometry). The result is also a generalization of Conn's linearization theorem from one-point leaves to arbitrary symplectic leaves (however, we do not make use of Conn's theorem).",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-08-11T00:22:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "normal form theorem",
      "arbitrary symplectic leaves",
      "poisson geometric version",
      "local reeb stability",
      "conns linearization theorem"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1009.2090C"
    }
  }
}