{
  "id": "math/0007066",
  "version": "v1",
  "published": "2000-07-11T09:26:57.000Z",
  "updated": "2000-07-11T09:26:57.000Z",
  "title": "Almost Hermitian Geometry on Six Dimensional Nilmanifolds",
  "authors": [
    "E. Abbena",
    "S. Garbiero",
    "S. Salamon"
  ],
  "comment": "22 pages, 2 figures",
  "categories": [
    "math.DG"
  ],
  "abstract": "The fundamental 2-form of an invariant almost Hermitian structure on a 6-dimensional Lie group is described in terms of an action by SO(4)xU(1) on complex projective 3-space. This leads to a combinatorial description of the classes of almost Hermitian structures on the Iwasawa and other nilmanifolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-07-11T09:26:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C15",
      "53C55",
      "51A05",
      "17B30"
    ],
    "keywords": [
      "dimensional nilmanifolds",
      "hermitian geometry",
      "hermitian structure",
      "lie group",
      "combinatorial description"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......7066A"
    }
  }
}