{
  "id": "2111.06165",
  "version": "v1",
  "published": "2021-11-11T12:07:54.000Z",
  "updated": "2021-11-11T12:07:54.000Z",
  "title": "Simplicial volume of fiber bundles with nonpositively curved fibers",
  "authors": [
    "Xiaofeng Meng"
  ],
  "comment": "8",
  "categories": [
    "math.GT"
  ],
  "abstract": "We prove the simplicial volume of the total space of a smooth fiber bundle with fiber being an oriented closed connected (occ) manifold of nonpositive curvature and negative Ricci curvature over an occ manifold with a closed universal covering is zero. Furthermore, if the fiber is an occ negatively curved manifold with dimension more than $2$, the simplicial volume of the total space is zero if and only if the simplicial volume of the base space is zero.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-11-11T12:07:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C23",
      "57N65"
    ],
    "keywords": [
      "simplicial volume",
      "nonpositively curved fibers",
      "total space",
      "smooth fiber bundle",
      "base space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}