Boost Invariant Surfaces with Pointwise 1-Type Gauss Map in Minkowski 4-Space E4-1

preprint2013arXivOpen access

Abstract

In this paper, we study spacelike rotational surfaces which are called boost invariant surfaces in Minkowski 4-space E41. 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.

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