{
  "id": "2210.14442",
  "version": "v1",
  "published": "2022-10-26T03:27:31.000Z",
  "updated": "2022-10-26T03:27:31.000Z",
  "title": "Three-manifolds with bounded curvature and uniformly positive scalar curvature",
  "authors": [
    "Conghan Dong"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "In this note, we prove that for a complete noncompact three dimensional Riemannian manifold with bounded sectional curvature, if it has uniformly positive scalar curvature, then there is a uniform lower bound on the injectivity radius.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-26T03:27:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "uniformly positive scalar curvature",
      "bounded curvature",
      "three-manifolds",
      "uniform lower bound",
      "dimensional riemannian manifold"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}