English

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

Differential Geometry 2013-11-11 v1

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.

Keywords

Cite

@article{arxiv.1311.1961,
  title  = {On the Lorentzian minimal surfaces in $\mathbb E^4_1$ with finite type Gauss map},
  author = {Nurettin Cenk Turgay},
  journal= {arXiv preprint arXiv:1311.1961},
  year   = {2013}
}