{
  "id": "1606.04626",
  "version": "v1",
  "published": "2016-06-15T03:01:47.000Z",
  "updated": "2016-06-15T03:01:47.000Z",
  "title": "Isoperimetric mass and isoperimetric regions in asymptotically flat manifold",
  "authors": [
    "Yuguang Shi",
    "Haobin Yu"
  ],
  "comment": "25 pages, no figures",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this paper, we study the isoperimetric mass of isoperimetric regions in asymptotically flat manifold $(M^3, g)$ with nonnegative scalar curvature and positive ADM mass. We prove that isoperimetric regions $\\{\\Omega_i\\}$ with topological sphere boundary $\\{\\partial\\Omega_i\\}$ is an exhaustion of M. In addition, we reprove the result that isoperimetric mass equals the ADM mass in an elementary way.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-15T03:01:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C20",
      "83C99"
    ],
    "keywords": [
      "asymptotically flat manifold",
      "isoperimetric regions",
      "isoperimetric mass equals",
      "positive adm mass",
      "nonnegative scalar curvature"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}