Marginally trapped surfaces with pointwise 1-type Gauss map in Minkowski 4-space
Differential Geometry
2014-10-27 v1
Abstract
A marginally trapped surface in the four-dimensional Minkowski space is a spacelike surface whose mean curvature vector is lightlike at each point. In the present paper we find all marginally trapped surfaces with pointwise 1-type Gauss map. We prove that a marginally trapped surface is of pointwise 1-type Gauss map if and only if it has parallel mean curvature vector field.
Keywords
Cite
@article{arxiv.1410.6584,
title = {Marginally trapped surfaces with pointwise 1-type Gauss map in Minkowski 4-space},
author = {Velichka Milousheva},
journal= {arXiv preprint arXiv:1410.6584},
year = {2014}
}
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9 pages