{
  "id": "math/0502575",
  "version": "v2",
  "published": "2005-02-28T14:39:50.000Z",
  "updated": "2006-12-14T15:17:31.000Z",
  "title": "Metrics that realize all Lorentzian holonomy algebras",
  "authors": [
    "Anton S. Galaev"
  ],
  "journal": "Int. J. Geom. Methods Mod. Phys. 3 (2006) no. 5-6, 1025--1045",
  "categories": [
    "math.DG"
  ],
  "abstract": "All candidates to the weakly-irreducible not irreducible holonomy algebras of Lorentzian manifolds are known. In the present paper metrics that realize all these candidates as holonomy algebras are given. This completes the classification of the Lorentzian holonomy algebras. Also new examples of metrics with the holonomy algebras $g_2\\zr\\Real^7\\subset\\so(1,8)$ and $\\spin(7)\\zr\\Real^8\\subset\\so(1,9)$ are constructed.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-12-14T15:17:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C29",
      "53C50",
      "53B30"
    ],
    "keywords": [
      "lorentzian holonomy algebras",
      "candidates",
      "irreducible holonomy algebras",
      "lorentzian manifolds"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1142/S0219887806001570",
      "journal": "International Journal of Geometric Methods in Modern Physics",
      "year": 2006,
      "month": "Sep",
      "volume": 3,
      "pages": 1025
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006IJGMM..03.1025G"
    }
  }
}