Classification of marginally trapped surfaces of constant curvature in Lorentzian complex plane (Q1029970)

The author studies marginally trapped surfaces in the Lorentzian complex plane (i.e. surfaces with light-like mean curvature vector field). The main result classifies marginally trapped surfaces with constant curvature into twenty-one types. A rigidity theorem states that, locally, any marginally trapped surface with constant curvature in the Lorentzian complex plane is one of these twenty-one families, modulo a rigid motion and/or a dilation.