2-Ruled Hypersurfaces in a Walker 4-Manifold
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866915444845182976 |
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| author | Dramé, Mohamed Ayatola Ndiaye, Ameth Diallo, Abdoul Salam |
| author_facet | Dramé, Mohamed Ayatola Ndiaye, Ameth Diallo, Abdoul Salam |
| contents | The hypersurface is one of the most important objects in a space. Many authors studied diffrent geometric aspects of hypersurfaces in a space. In this paper, we define three types of 2-ruled hypersurfaces in a Walker 4-manfold E 41 . We obtain the Gaussian and mean curvatures of the 2-ruled hypersurfaces of type-1, type-2 and type 3. We give some characterizations about its minimality. We also deal with the first Laplace-Beltrami operators of these types of 2-ruled hypersurfaces in the considered Walker 4-manifold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_02121 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | 2-Ruled Hypersurfaces in a Walker 4-Manifold Dramé, Mohamed Ayatola Ndiaye, Ameth Diallo, Abdoul Salam Differential Geometry The hypersurface is one of the most important objects in a space. Many authors studied diffrent geometric aspects of hypersurfaces in a space. In this paper, we define three types of 2-ruled hypersurfaces in a Walker 4-manfold E 41 . We obtain the Gaussian and mean curvatures of the 2-ruled hypersurfaces of type-1, type-2 and type 3. We give some characterizations about its minimality. We also deal with the first Laplace-Beltrami operators of these types of 2-ruled hypersurfaces in the considered Walker 4-manifold. |
| title | 2-Ruled Hypersurfaces in a Walker 4-Manifold |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2212.02121 |