2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/119805The 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--317.11 pagesRepresentation TheoryDifferential GeometryThe inversion of the X-ray Transform on a Compact Symmetric Spacetext