Ruled zero mean curvature surfaces in the three-dimensional light cone
arXiv:2504.12543
Abstract
We obtain a complete classification of ruled zero mean curvature surfaces in the three-dimensional light cone. En route, we examine geodesics and screw motions in the space form, allowing us to discover helicoids. We also consider their relationship to catenoids using Weierstrass representations of zero mean curvature surfaces in the three-dimensional light cone.
28 pages, 6 figures