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

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.

arXiv admin note: substantial text overlap with arXiv:1302.2910, arXiv:1302.2804

References in corpus (4)

• Marginally trapped surfaces with pointwise 1-type Gauss map in Minkowski 4-space
• Space-like Surfaces in Minkowski Space ${\mathbb{E}}_1^4$ with Pointwise 1-Type Gauss Map
• Flat Rotational Surface with Pointwise 1-typeGauss map in E4
• General Rotational Surfaces with Pointwise 1-Type Gauss Map in Pseudo- Euclidean Space E42