Helicoidal surfaces of non-lightlike frontals in Lorentz-Minkowski 3-space
Differential Geometry
2026-04-07 v1
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 -cusps and -cuspidal edges, we establish identification theorems for the singular types of both 1-type and 2-type helicoidal surfaces on their singular loci.
Keywords
Cite
@article{arxiv.2604.03268,
title = {Helicoidal surfaces of non-lightlike frontals in Lorentz-Minkowski 3-space},
author = {Kaixin Yao and Wei Zhang},
journal= {arXiv preprint arXiv:2604.03268},
year = {2026}
}
Comments
20 pages, 3 figures. Comments are most welcome