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arXiv · 1410.6584

Marginally trapped surfaces with pointwise 1-type Gauss map in Minkowski 4-space

Velichka Milousheva
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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.

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Velichka Milousheva. 2014-10-24. Marginally trapped surfaces with pointwise 1-type Gauss map in Minkowski 4-space. https://arxiv.org/abs/1410.6584

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