{
  "id": "math/9911197",
  "version": "v2",
  "published": "1999-11-25T01:29:27.000Z",
  "updated": "2001-06-22T00:28:37.000Z",
  "title": "Local rigidity of certain classes of almost Kahler 4-manifolds",
  "authors": [
    "Vestislav Apostolov",
    "John Armstrong",
    "Tedi Draghici"
  ],
  "comment": "LaTex file, 25 pages, typos corrected, improved presentation, accepted in Ann. Global Anal. Geom",
  "categories": [
    "math.DG"
  ],
  "abstract": "We show that any non-Kahler, almost Kahler 4-manifold for which both the Ricci and the Weyl curvatures have the same algebraic symmetries as they have for a Kahler metric is locally isometric to the (only) proper 3-symmetric 4-dimensional space described by O. Kowalski.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2001-06-22T00:28:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53B20",
      "53C15",
      "53C25"
    ],
    "keywords": [
      "local rigidity",
      "weyl curvatures",
      "algebraic symmetries",
      "kahler metric"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999math.....11197A"
    }
  }
}