Singularities on timelike minimal surfaces in Lorentzian Heisenberg group
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_ | 1866912909611761664 |
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| author | Akamine, Shintaro Kiyohara, Hirotaka |
| author_facet | Akamine, Shintaro Kiyohara, Hirotaka |
| contents | Timelike minimal surfaces in the three-dimensional Lorentzian Heisenberg group are shown to be constructed from Lorentzian harmonic maps into the de-Sitter two-sphere, and they naturally admit singular points. In particular, we provide criteria for cuspidal edges, swallowtails, and cuspidal cross caps, and present several explicit examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_15414 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Singularities on timelike minimal surfaces in Lorentzian Heisenberg group Akamine, Shintaro Kiyohara, Hirotaka Differential Geometry Primary 53A10, Secondary 53B30, 57R45 Timelike minimal surfaces in the three-dimensional Lorentzian Heisenberg group are shown to be constructed from Lorentzian harmonic maps into the de-Sitter two-sphere, and they naturally admit singular points. In particular, we provide criteria for cuspidal edges, swallowtails, and cuspidal cross caps, and present several explicit examples. |
| title | Singularities on timelike minimal surfaces in Lorentzian Heisenberg group |
| topic | Differential Geometry Primary 53A10, Secondary 53B30, 57R45 |
| url | https://arxiv.org/abs/2602.15414 |