{
  "id": "1110.4297",
  "version": "v1",
  "published": "2011-10-19T14:30:08.000Z",
  "updated": "2011-10-19T14:30:08.000Z",
  "title": "On the classification of the almost contact metric manifolds",
  "authors": [
    "Valentin A. Alexiev",
    "Georgi T. Ganchev"
  ],
  "comment": "7 pages; Mathematics and Education in Mathematics, 1986",
  "journal": "Proc. Fifteenth Conf. Union of the Bulgarian Mathematicians, Sunny Beach, April 2-6,1986,155-161",
  "categories": [
    "math.DG"
  ],
  "abstract": "The vector space of the tensors $\\mathcal F$ of type (0,3) having the same symmetries as the covariant derivative of the fundamental form of an almost contact metric manifold is considered. A scheme of decomposition of $\\mathcal F$ into orthogonal components which are invariant under the action of $U(n)\\times 1$ is given. Using this decomposition there are found 12 natural basic classes of almost contact metric manifolds. The classes of cosymplectic, $\\alpha$-Sasakian, $\\alpha$-Kenmotsu, etc. manifolds fit nicely to these considerations. On the other hand, many new interesting classes of almost contact metric manifolds arise.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-10-19T14:30:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53D15",
      "53C25"
    ],
    "keywords": [
      "classification",
      "contact metric manifolds arise",
      "natural basic classes",
      "fundamental form",
      "decomposition"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1110.4297A"
    }
  }
}