{
  "id": "1709.05053",
  "version": "v1",
  "published": "2017-09-15T04:21:02.000Z",
  "updated": "2017-09-15T04:21:02.000Z",
  "title": "X-ray Transform and Boundary Rigidity for Asymptotically Hyperbolic Manifolds",
  "authors": [
    "C. Robin Graham",
    "Colin Guillarmou",
    "Plamen Stefanov",
    "Gunther Uhlmann"
  ],
  "comment": "54 pages",
  "categories": [
    "math.DG",
    "hep-th",
    "math-ph",
    "math.AP",
    "math.MP"
  ],
  "abstract": "We consider the boundary rigidity problem for asymptotically hyperbolic manifolds. We show injectivity of the X-ray transform in several cases and consider the non-linear inverse problem which consists of recovering a metric from boundary measurements for the geodesic flow.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-09-15T04:21:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R30",
      "37D40",
      "53C22"
    ],
    "keywords": [
      "asymptotically hyperbolic manifolds",
      "x-ray transform",
      "boundary rigidity problem",
      "non-linear inverse problem",
      "boundary measurements"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 54,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}