2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/143842In this note, we give a generalization of the inversion formulas of Pestov-Uhlmann for the geodesic ray transform of functions and vector fields on simple 2-dimensional manifolds of constant curvature. The inversion formulas given here hold for 2-dimensional simple manifolds whose curvatures close to a constant.6 pagesDifferential GeometryClassical Analysis and ODEstext