Helicoidal surfaces of non-lightlike frontals in Lorentz-Minkowski 3-space
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866910102558081024 |
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| author | Yao, Kaixin Zhang, Wei |
| author_facet | Yao, Kaixin Zhang, Wei |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_03268 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Helicoidal surfaces of non-lightlike frontals in Lorentz-Minkowski 3-space Yao, Kaixin Zhang, Wei Differential Geometry 53A35, 53A04, 53A05, 57R45 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. |
| title | Helicoidal surfaces of non-lightlike frontals in Lorentz-Minkowski 3-space |
| topic | Differential Geometry 53A35, 53A04, 53A05, 57R45 |
| url | https://arxiv.org/abs/2604.03268 |