Quasi-minimal Lorentz Surfaces with Pointwise 1-type Gauss Map in Pseudo-Euclidean 4-Space

Abstract

A Lorentz surface in the four-dimensional pseudo-Euclidean space with neutral metric is called quasi-minimal if its mean curvature vector is lightlike at each point. In the present paper we obtain the complete classification of quasi-minimal Lorentz surfaces with pointwise 1-type Gauss map.

16 pages

References in corpus (2)

• Submanifolds with parallel mean curvature vector in Riemannian and indefinite space forms
• Marginally trapped surfaces with pointwise 1-type Gauss map in Minkowski 4-space