{
  "id": "math/0703587",
  "version": "v2",
  "published": "2007-03-20T14:34:04.000Z",
  "updated": "2007-09-13T15:20:27.000Z",
  "title": "The simplicial volume of closed manifolds covered by H^2 x H^2",
  "authors": [
    "Michelle Bucher-Karlsson"
  ],
  "comment": "19 pages; added consequences: Milnor-Wood type inequality, nonexistence of affine structure",
  "doi": "10.1112/jtopol/jtn012",
  "categories": [
    "math.DG",
    "math.AT"
  ],
  "abstract": "We compute the value of the simplicial volume for closed, oriented Riemannian manifolds covered by $\\mathbb{H}^{2}\\times\\mathbb{H}^{2}$ explicitly, thus in particular for products of closed hyperbolic surfaces. This gives the first exact value of a nonvanishing simplicial volume for a manifold of nonconstant curvature.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-09-13T15:20:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55N10",
      "20J06"
    ],
    "keywords": [
      "closed manifolds",
      "first exact value",
      "closed hyperbolic surfaces",
      "oriented riemannian manifolds",
      "nonvanishing simplicial volume"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......3587B"
    }
  }
}