{
  "id": "1709.08806",
  "version": "v1",
  "published": "2017-09-26T03:56:40.000Z",
  "updated": "2017-09-26T03:56:40.000Z",
  "title": "Homotopic properties of 3-Sasakian homogeneous spaces",
  "authors": [
    "Marisa Fernández",
    "Jonathan Sánchez",
    "Vicente Muñoz"
  ],
  "comment": "27 pages, no figures",
  "categories": [
    "math.DG",
    "math.AT"
  ],
  "abstract": "We study the formality of the total space of principal SU(2) and SO(3)-bundles over a Wolf space, that is a symmetric positive quaternionic K\\\"ahker manifold. We apply this to conclude that all the 3-Sasakian homogeneous spaces are formal. We also determine the principal SU(2) and SO(3)-bundles over the Wolf spaces whose total space are non-formal.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-09-26T03:56:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C25",
      "55P62",
      "57N65",
      "55S30",
      "53C26"
    ],
    "keywords": [
      "homogeneous spaces",
      "homotopic properties",
      "wolf space",
      "total space",
      "principal su"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}