  The lightlike geometry of codimension two spacelike submanifolds in
Lorentz-Minkowski space has been developed in [Izumiya, S. and Romero Fuster,
M. C. Selecta Mathematica (NS), 13 23--55 (2007)] which is a natural Lorentzian
analogue of the classical Euclidean differential geometry of hypersurfaces. In
this paper we investigate a special class of surfaces (i.e., marginally trapped
surfaces) in Minkowski space-time from the view point of the lightlike
geometry.
