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 Boost invariant surfaces with pointwise 1-type Gauss map in Minkowski 4-space E$_{1}^{4}$ Bull. Korean Math. Soc. 2014 Vol. 51, No. 6, 1863-1874 https://doi.org/10.4134/BKMS.2014.51.6.1863Published online November 30, 2014 Ferdag Kahraman Aksoyak and Yusuf Yayli Ahi Evran University, Ankara University Abstract : 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. Keywords : rotation surface, Gauss map, pointwise 1-type Gauss map, marginally trapped surface, Minkowski space MSC numbers : 53B25, 53C50 Full-Text :