On the structure vector field in lightlike hypersurfaces
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916185884327936 |
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| author | Ssekajja, Samuel |
| author_facet | Ssekajja, Samuel |
| contents | We study lightlike hypersurfaces of an indefinite almost contact metric-manifold $\bar{M}$. We prove that there are only two types of such hypersurfaces, known as ascreen and inascreen, with respect to the position of the structure vector field of $\bar{M}$. We also show that the second class of hypersurfaces naturally admits an almost Hermitian structure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_00037 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the structure vector field in lightlike hypersurfaces Ssekajja, Samuel Differential Geometry 53C25, 53C40, 53C50 We study lightlike hypersurfaces of an indefinite almost contact metric-manifold $\bar{M}$. We prove that there are only two types of such hypersurfaces, known as ascreen and inascreen, with respect to the position of the structure vector field of $\bar{M}$. We also show that the second class of hypersurfaces naturally admits an almost Hermitian structure. |
| title | On the structure vector field in lightlike hypersurfaces |
| topic | Differential Geometry 53C25, 53C40, 53C50 |
| url | https://arxiv.org/abs/2404.00037 |