Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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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.

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

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