{
  "id": "math/0409137",
  "version": "v1",
  "published": "2004-09-08T15:37:13.000Z",
  "updated": "2004-09-08T15:37:13.000Z",
  "title": "Conformally parallel G_2 structures on a class of solvmanifolds",
  "authors": [
    "Simon G. Chiossi",
    "Anna Fino"
  ],
  "comment": "22 pages",
  "journal": "Math. Z. 252 (4), 825-848, (2006)",
  "categories": [
    "math.DG",
    "hep-th"
  ],
  "abstract": "Starting from a 6-dimensional nilpotent Lie group N endowed with an invariant SU(3) structure, we construct a homogeneous conformally parallel G_2-metric on an associated solvmanifold. We classify all half-flat SU(3) structures that endow the rank-one solvable extension of N with a conformally parallel G_2 structure. By suitably deforming the SU(3) structures obtained, we are able to describe the corresponding non-homogeneous Ricci-flat metrics with holonomy contained in G_2. In the process we also find a new metric with exceptional holonomy.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-09-08T15:37:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C10",
      "53C25",
      "53C29",
      "22E25"
    ],
    "keywords": [
      "nilpotent lie group",
      "invariant su",
      "corresponding non-homogeneous ricci-flat metrics",
      "rank-one solvable extension",
      "exceptional holonomy"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s00209-005-0885-7"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 658786,
      "adsabs": "2004math......9137C"
    }
  }
}