{
  "id": "1907.02210",
  "version": "v1",
  "published": "2019-07-04T04:08:55.000Z",
  "updated": "2019-07-04T04:08:55.000Z",
  "title": "The Light Ray transform on Lorentzian manifolds",
  "authors": [
    "Matti Lassas",
    "Lauri Oksanen",
    "Plamen Stefanov",
    "Gunther Uhlmann"
  ],
  "categories": [
    "math.AP",
    "math.DG"
  ],
  "abstract": "We study the weighted light ray transform $L$ of integrating functions on a Lorentzian manifold over lightlike geodesics. We analyze $L$ as a Fourier Integral Operator and show that if there are no conjugate points, one can recover the spacelike singularities of a function $f$ from its the weighted light ray transform $Lf$ by a suitable filtered back-projection.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-07-04T04:08:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C65",
      "35R30",
      "35A27"
    ],
    "keywords": [
      "lorentzian manifold",
      "weighted light ray transform",
      "fourier integral operator",
      "conjugate points",
      "back-projection"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}