{
  "id": "math/0101084",
  "version": "v2",
  "published": "2001-01-10T14:36:26.000Z",
  "updated": "2001-12-05T20:26:29.000Z",
  "title": "Curvature Estimates in Asymptotically Flat Manifolds of Positive Scalar Curvature",
  "authors": [
    "Felix Finster",
    "Ines Kath"
  ],
  "comment": "11 pages, LaTeX (published version)",
  "journal": "Commun. in Analysis and Geometry 10 (2002) 1017-1031",
  "categories": [
    "math.DG",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider an asymptotically flat Riemannian spin manifold of positive scalar curvature. An inequality is derived which bounds the Riemann tensor in terms of the total mass and quantifies in which sense curvature must become small when the total mass tends to zero.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2001-12-05T20:26:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "positive scalar curvature",
      "asymptotically flat manifolds",
      "curvature estimates",
      "asymptotically flat riemannian spin manifold",
      "total mass tends"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......1084F"
    }
  }
}