{
  "id": "1407.0673",
  "version": "v1",
  "published": "2014-07-02T18:33:13.000Z",
  "updated": "2014-07-02T18:33:13.000Z",
  "title": "A positive mass theorem for asymptotically flat manifolds with a non-compact boundary",
  "authors": [
    "Sergio Almaraz",
    "Ezequiel Barbosa",
    "Levi Lopes de Lima"
  ],
  "comment": "30 pages",
  "categories": [
    "math.DG",
    "gr-qc",
    "math.AP"
  ],
  "abstract": "We prove a positive mass theorem for $n$-dimensional asymptotically flat manifolds with a non-compact boundary if either $3\\leq n\\leq 7$ or if $n\\geq 3$ and the manifold is spin. This settles, for this class of manifolds, a question posed in a recent paper by the first author in connection with the long-term behavior of a certain Yamabe-type flow on scalar-flat compact manifolds with boundary.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-02T18:33:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C21",
      "53C20",
      "53C27"
    ],
    "keywords": [
      "positive mass theorem",
      "non-compact boundary",
      "scalar-flat compact manifolds",
      "dimensional asymptotically flat manifolds",
      "yamabe-type flow"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1304450,
      "adsabs": "2014arXiv1407.0673A"
    }
  }
}