Boost invariant surfaces with pointwise 1-type Gauss map in Minkowski 4-space E$_{1}^{4}$

摘要

In this paper, we study spacelike rotational surfaces which are called boost invariant surfaces in Minkowski 4-space $mathbb{E}_{1}^{4}$. We give necessary and sufficient condition for flat spacelike rotational surface to have pointwise 1-type Gauss map. Also, we obtain a characterization for boost invariant marginally trapped surface with pointwise 1-type Gauss map.