{
  "id": "math/0609336",
  "version": "v6",
  "published": "2006-09-12T19:36:05.000Z",
  "updated": "2006-12-14T14:39:55.000Z",
  "title": "The inversion of the X-ray Transform on a Compact Symmetric Space",
  "authors": [
    "Sigurdur Helgason"
  ],
  "comment": "11 pages",
  "categories": [
    "math.RT",
    "math.DG"
  ],
  "abstract": "The X-ray transform on a compact symmetric space M is here inverted by means of an explicit inversion formula. The proof uses the conjugacy of the minimal closed geodesics in M and of the maximally curved totally geodesic spheres in M, proved in Math. Ann. 165 (1966), 309--317.",
  "revisions": [
    {
      "version": "v6",
      "updated": "2006-12-14T14:39:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "compact symmetric space",
      "x-ray transform",
      "explicit inversion formula",
      "minimal closed geodesics",
      "maximally curved totally geodesic spheres"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......9336H"
    }
  }
}