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arXiv · 2504.12543

Ruled zero mean curvature surfaces in the three-dimensional light cone

Joseph Cho·Dami Lee·Wonjoo Lee·Seong-Deog Yang
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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.

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Joseph Cho, Dami Lee, Wonjoo Lee, Seong-Deog Yang. 2025-04-17. Ruled zero mean curvature surfaces in the three-dimensional light cone. https://arxiv.org/abs/2504.12543

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