Bull. Korean Math. Soc. 2014; 51(6): 1863-1874
Printed November 30, 2014
https://doi.org/10.4134/BKMS.2014.51.6.1863
Copyright © The Korean Mathematical Society.
Ferdag Kahraman Aksoyak and Yusuf Yayli
Ahi Evran University, Ankara University
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
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