On the quasi-minimal surfaces in the 4-dimensional de Sitter space with 1-type Gauss map
Differential Geometry
2013-11-11 v1
Abstract
In this paper, we study the Gauss map of the surfaces in the de Sitter space-time . First, we prove that a space-like surface lying in the de Sitter space-time has pointwise 1-type Gauss map if and only if it has parallel mean curvature vector. Then, we obtain the complete classification of the quasi-minimal surfaces with 1-type Gauss map.
Keywords
Cite
@article{arxiv.1311.1962,
title = {On the quasi-minimal surfaces in the 4-dimensional de Sitter space with 1-type Gauss map},
author = {Nurettin Cenk Turgay},
journal= {arXiv preprint arXiv:1311.1962},
year = {2013}
}
Comments
This work has been presented in 2nd International Eurasian Conference on Mathematical Sciences and Applications (IECMSA-2013)