{
  "id": "0812.1651",
  "version": "v1",
  "published": "2008-12-09T10:37:19.000Z",
  "updated": "2008-12-09T10:37:19.000Z",
  "title": "3-Sasakian manifolds in dimension seven, their spinors and G_2 structures",
  "authors": [
    "Ilka Agricola",
    "Thomas Friedrich"
  ],
  "comment": "9 pages",
  "journal": "J. Geom. Phys. 60 (2010), 326-332",
  "categories": [
    "math.DG",
    "math-ph",
    "math.MP"
  ],
  "abstract": "It is well-known that 7-dimensional 3-Sasakian manifolds carry a one-parametric family of compatible G_2 structures and that they do not admit a characteristic connection. In this note, we show that there is nevertheless a distinguished cocalibrated G_2 structure in this family whose characteristic connection along with its parallel spinor field can be used for a thorough investigation of the geometric properties of 7-dimensional 3-Sasakian manifolds. Many known and some new properties can be easily derived from the properties of this connection and the spinor field, yielding thus an appropriate substitute for the missing characteristic connection.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-12-09T10:37:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C25",
      "81T30"
    ],
    "keywords": [
      "dimension seven",
      "parallel spinor field",
      "geometric properties",
      "thorough investigation",
      "appropriate substitute"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1016/j.geomphys.2009.10.003",
      "journal": "Journal of Geometry and Physics",
      "year": 2010,
      "month": "Feb",
      "volume": 60,
      "number": 2,
      "pages": 326
    },
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010JGP....60..326A"
    }
  }
}