{
  "id": "0912.2006",
  "version": "v1",
  "published": "2009-12-10T14:33:51.000Z",
  "updated": "2009-12-10T14:33:51.000Z",
  "title": "On the de Rham cohomology of solvmanifolds",
  "authors": [
    "Sergio Console",
    "Anna Fino"
  ],
  "comment": "15 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "By using results by D. Witte on the superigidity of lattices in solvable Lie groups we get a different proof of a recent remarkable result obtained by D. Guan on the de Rham cohomology of a compact solvmanifold, i.e. of a quotient of a connected and simply connected solvable Lie group $G$ by a lattice $\\Gamma$. This result can be applied to compute the Betti numbers of a compact solvmanifold $G/\\Gamma$ even in the case that the solvable Lie group $G$ and the lattice $\\Gamma$ do not satisfy the Mostow condition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-12-10T14:33:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C30",
      "22E25",
      "22E40"
    ],
    "keywords": [
      "rham cohomology",
      "compact solvmanifold",
      "simply connected solvable lie group",
      "betti numbers",
      "mostow condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0912.2006C"
    }
  }
}