Spacelike surfaces in \(\mathbb L^4\) with degenerate Gauss map (Q1758348)

The authors classify the space-like surfaces with degenerate Gauss map of type 1, 2 and 3 in the Lorentz-Minkowski space \(\mathbb{L}^{4}\). They prove that the space-like surfaces in \(\mathbb{L}^{4}\) with degenerate Gauss map of type 1, 2 and 3 lie in five classes of surfaces in \(\mathbb{L}^{4}\), namely, the class of lower-dimensional spaces, the class of one-parameter families of stationary surfaces, the class of products of a space-like real line and a hyperbolic helix, and the class of elliptic helices. These results are supported by specific examples.