1205.6350 (Georgi Ganchev et al.)

Marginally trapped meridian surfaces of parabolic type in the
four-dimensional Minkowski space    [PDF]

Georgi Ganchev, Velichka Milousheva

A marginally trapped surface in the four-dimensional Minkowski space is a spacelike surface whose mean curvature vector is lightlike at each point. We introduce meridian surfaces of parabolic type as one-parameter systems of meridians of a rotational hypersurface with lightlike axis in Minkowski 4-space and find their basic invariants. We find all marginally trapped meridian surfaces of parabolic type and give a geometric construction of these surfaces.

View original: http://arxiv.org/abs/1205.6350