{
  "id": "2106.08549",
  "version": "v1",
  "published": "2021-06-16T04:57:48.000Z",
  "updated": "2021-06-16T04:57:48.000Z",
  "title": "An example of a closed 5-manifold of nonpositive curvature that fibers over a circle",
  "authors": [
    "Koji Fujiwara"
  ],
  "categories": [
    "math.GT",
    "math.DG",
    "math.GR"
  ],
  "abstract": "We exhibit a closed aspherical 5-manifold of nonpositive curvature that fibers over a circle whose fundamental group is hyperbolic relative to abelian subgroups such that the fiber is a closed aspherical 4-manifold whose fundamental group is not hyperbolic relative to abelian subgroups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-06-16T04:57:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonpositive curvature",
      "abelian subgroups",
      "fundamental group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}