Helix surfaces in Lorentzian Heisenberg group
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866908640593575936 |
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| author | Pellegrino, Lorenzo |
| author_facet | Pellegrino, Lorenzo |
| contents | In this work we investigate constant angle surfaces in the Lorentzian Heisenberg group $\htt$. After providing a complete description of the geometry of the ambient space, we perform the full classification of minimal and CMC helix surfaces in $\htt$, giving their explicit parametrizations. In addition, we investigate the constant angle spacelike and timelike surfaces for a Lorentzian metric on the Heisenberg group $H_3$ not treated before in the literature, first showing that such surfaces have constant Gaussian curvature and then obtaining their complete characterization. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_06932 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Helix surfaces in Lorentzian Heisenberg group Pellegrino, Lorenzo Differential Geometry 53C50, 53C25 In this work we investigate constant angle surfaces in the Lorentzian Heisenberg group $\htt$. After providing a complete description of the geometry of the ambient space, we perform the full classification of minimal and CMC helix surfaces in $\htt$, giving their explicit parametrizations. In addition, we investigate the constant angle spacelike and timelike surfaces for a Lorentzian metric on the Heisenberg group $H_3$ not treated before in the literature, first showing that such surfaces have constant Gaussian curvature and then obtaining their complete characterization. |
| title | Helix surfaces in Lorentzian Heisenberg group |
| topic | Differential Geometry 53C50, 53C25 |
| url | https://arxiv.org/abs/2511.06932 |