{
  "id": "1711.02457",
  "version": "v1",
  "published": "2017-11-07T13:38:15.000Z",
  "updated": "2017-11-07T13:38:15.000Z",
  "title": "Deforming 3-manifolds of bounded geometry and uniformly positive scalar curvature",
  "authors": [
    "Laurent Bessières",
    "Gérard Besson",
    "Sylvain Maillot",
    "Fernando Coda Marques",
    "Laurentbessì Eres",
    "Fernando Marques"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "We prove that the moduli space of complete Riemannian metrics of bounded geometry and uniformly positive scalar curvature on an orientable 3-manifold is path-connected. This generalizes the main result of the fourth author [Mar12] in the compact case. The proof uses Ricci flow with surgery as well as arguments involving performing infinite connected sums with control on the geometry.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-07T13:38:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "uniformly positive scalar curvature",
      "bounded geometry",
      "complete riemannian metrics",
      "moduli space",
      "main result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}