{
  "id": "2203.04131",
  "version": "v1",
  "published": "2022-03-08T14:58:06.000Z",
  "updated": "2022-03-08T14:58:06.000Z",
  "title": "An $\\ell_1$-norm-mass inequality for complete manifolds",
  "authors": [
    "Caterina Campagnolo",
    "Shi Wang"
  ],
  "comment": "15 pages",
  "categories": [
    "math.GT",
    "math.DG"
  ],
  "abstract": "We generalize an inequality of Besson-Courtois-Gallot about volume and simplicial volume of closed manifolds to the $\\ell_1$-norm of all the homology classes of complete manifolds. The inequality involves the critical exponent of the fundamental group of the manifold and the mass of the homology classes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-03-08T14:58:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C23",
      "57R57"
    ],
    "keywords": [
      "complete manifolds",
      "norm-mass inequality",
      "homology classes",
      "simplicial volume",
      "fundamental group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}