{
  "id": "1705.04208",
  "version": "v1",
  "published": "2017-05-11T14:31:01.000Z",
  "updated": "2017-05-11T14:31:01.000Z",
  "title": "Geometric Graph Manifolds with non-negative scalar curvature",
  "authors": [
    "Luis Florit",
    "Wolfgang Ziller"
  ],
  "comment": "16 pages, 2 figures",
  "categories": [
    "math.DG"
  ],
  "abstract": "We classify $n$-dimensional geometric graph manifolds with nonnegative scalar curvature, and first show that if $n>3$, the universal cover splits off a codimension 3 Euclidean factor. We then proceed with the classification of the 3-dimensional case by showing that such a manifold is either a lens space or a prism manifold with a very rigid metric. This allows us to also classify the moduli space of such metrics: it has infinitely many connected components for lens spaces, while it is connected for prism manifolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-11T14:31:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C15",
      "53C20",
      "53C24"
    ],
    "keywords": [
      "non-negative scalar curvature",
      "lens space",
      "dimensional geometric graph manifolds",
      "prism manifold",
      "universal cover splits"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}