The totally geodesic Radon transform on the Lorentz space of curvarture \(-1\) (Q679045)

The author determines explicitly the Radon transform for spacelike and timelike total geodesics in the isotropic Lorentz space \({\mathcal L}^n\) of signature \((1,n-1)\) with constant curvature \(-1\). He uses the geodesic correspondence between \(\mathbb{R}^n\) and \({\mathcal L}^n\), and also the important fact that \({\mathcal L}^n\) has a rotational \(O(n)\) symmetry around its two ideal points. The paper is very well written.