{
  "id": "math/0312143",
  "version": "v1",
  "published": "2003-12-07T14:11:30.000Z",
  "updated": "2003-12-07T14:11:30.000Z",
  "title": "Kähler manifolds and fundamental groups of negatively $δ$-pinched manifolds",
  "authors": [
    "Juergen Jost",
    "Yihu Yang"
  ],
  "comment": "Version with additional supplementary material to appear in Intern.J.Math",
  "categories": [
    "math.DG",
    "math.AG"
  ],
  "abstract": "The fundamental group of a Riemannian manifold with $\\delta$-pinched negative curvature, $\\delta >1/4$, cannot be the fundamental group of a quasicompact K\\\"ahler manifold. The proof also implies that a non-uniform lattice in $F_{4(-20)}$ cannot be the fundamental group of a quasicompact K\\\"ahler manifold. We also construct examples in the spirit of Gromov-Thurston to show that our result is a non-trivial extension of the previously known result that a non-uniform lattice in real hyperbolic space in dimension at least 3 cannot be the fundamental group of a quasicompact K\\\"ahler manifold.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-12-07T14:11:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14E20",
      "58E20"
    ],
    "keywords": [
      "fundamental group",
      "kähler manifolds",
      "pinched manifolds",
      "non-uniform lattice",
      "quasicompact"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....12143J"
    }
  }
}