{
  "id": "0705.4444",
  "version": "v3",
  "published": "2007-05-30T18:10:01.000Z",
  "updated": "2009-03-11T18:23:01.000Z",
  "title": "Deformations of asymptotically cylindrical G_2 manifolds",
  "authors": [
    "Johannes Nordström"
  ],
  "comment": "31 pages, corrected proof of proposition 6.23",
  "journal": "Math. Proc. Camb. Phil. Soc. 145 (2008) 311-348",
  "doi": "10.1017/S0305004108001333",
  "categories": [
    "math.DG"
  ],
  "abstract": "We prove that for a 7-dimensional manifold M with cylindrical ends the moduli space of exponentially asymptotically cylindrical torsion-free G_2 structures is a smooth manifold (if non-empty), and study some of its local properties. We also show that the holonomy of the induced metric of an exponentially asymptotically cylindrical G_2 manifold M is exactly G_2 if and only if its fundamental group is finite and neither M nor any double cover of M is homeomorphic to a cylinder.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-03-11T18:23:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C25"
    ],
    "keywords": [
      "deformations",
      "moduli space",
      "smooth manifold",
      "local properties",
      "fundamental group"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0705.4444N"
    }
  }
}