On the Lorentzian minimal surfaces in ${\mathbb{E}}_1^4$ with finite type Gauss map

Abstract

In this paper, we study the Lorentzian minimal surfaces in the Minkowski space-time with finite type Gauss map. First, we obtain the classification of this type of surfaces with pointwise 1-type Gauss map. Then, we proved that there are no Lorentzian minimal surface in the Minkowski space-time with null 2-type Gauss map.

References in corpus (2)

• 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