Riemann zero mean curvature examples in Lorentz-Minkowski space

Riemann zero mean curvature examples in the Lorentz-Minkowski space are surfaces with zero mean curvature foliated by circles contained in parallel planes. In contrast to the Euclidean case, this family of surfaces presents new and rich features because of the variety of types of circles. In this paper, we give a geometric description of these examples when the circles are contained in spacelike planes and timelike planes.

Automated summary

This paper provides a geometric description of surfaces in the Lorentz-Minkowski space with zero mean curvature, which are foliated by circles contained in parallel planes. Unlike the Euclidean case, this family of surfaces exhibits new and rich features due to the variety of types of circles.