Ruled zero mean curvature surfaces in the three-dimensional light cone
Published: Apr 17, 2025
Last Updated: Apr 17, 2025
Authors:Joseph Cho, Dami Lee, Wonjoo Lee, Seong-Deog Yang
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.