Symmetries of Lorentzian Three-Manifolds with Recurrent Curvature
Symmetries of Lorentzian Three-Manifolds with Recurrent Curvature
Locally homogeneous Lorentzian three-manifolds with recurrect curvature are special examples of Walker manifolds, that is, they admit a parallel null vector field. We obtain a full classification of the symmetries of these spaces, with particular regard to symmetries related to their curvature: Ricci and matter collineations, curvature and Weyl collineations. …