It is shown how one can apply the classification of the holonomy algebras of Lorentzian manifolds to solve some problems. In particular, a new proof to the classification of Lorentzian manifolds with recurrent curvature tensor is given and the classification of two-symmetric Lorentzian manifolds is explained. Then the conformally recurrent Lorentzian manifolds are classified and the recurrent symmetric bilinear forms on these manifolds are described.
Anton Galaev. "Some Applications of the Lorentzian Holonomy Algebras." J. Geom. Symmetry Phys. 26 13 - 31, 2012. https://doi.org/10.7546/jgsp-26-2012-13-31