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arXiv · 2604.03268

Helicoidal surfaces of non-lightlike frontals in Lorentz-Minkowski 3-space

Kaixin Yao·Wei Zhang
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Abstract

In this paper, we define two types of helicoidal surfaces of non-lightlike frontals in Lorentz-Minkowski 3-space and investigate when they become lightcone framed base surfaces. Moreover, by constructing appropriate diffeomorphic transformations and using the criteria of $(i,j)$-cusps and $(i,j)$-cuspidal edges, we establish identification theorems for the singular types of both 1-type and 2-type helicoidal surfaces on their singular loci.

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Kaixin Yao, Wei Zhang. 2026-03-20. Helicoidal surfaces of non-lightlike frontals in Lorentz-Minkowski 3-space. https://arxiv.org/abs/2604.03268

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