{
  "id": "1705.07496",
  "version": "v1",
  "published": "2017-05-21T19:36:50.000Z",
  "updated": "2017-05-21T19:36:50.000Z",
  "title": "Almost Rigidity of the Positive Mass Theorem for Asymptotically Hyperbolic Manifolds with Spherical Symmetry",
  "authors": [
    "A Sakovich",
    "C Sormani"
  ],
  "comment": "23 pages, 1 figure",
  "categories": [
    "math.DG",
    "gr-qc"
  ],
  "abstract": "We use the notion of intrinsic flat distance to address the almost rigidity of the positive mass theorem for asymptotically hyperbolic manifolds. In particular, we prove that a sequence of spherically symmetric asymptotically hyperbolic manifolds satisfying the conditions of the positive mass theorem converges to hyperbolic space in the intrinsic flat sense, if the limit of the mass along the sequence is zero.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-21T19:36:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "83C99",
      "58Z05",
      "30L05"
    ],
    "keywords": [
      "spherical symmetry",
      "asymptotically hyperbolic manifolds satisfying",
      "spherically symmetric asymptotically hyperbolic manifolds",
      "intrinsic flat sense",
      "intrinsic flat distance"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}