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arXiv · 2212.02121

2-Ruled Hypersurfaces in a Walker 4-Manifold

Mohamed Ayatola Dramé·Ameth Ndiaye·Abdoul Salam Diallo
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Abstract

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.

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Mohamed Ayatola Dramé, Ameth Ndiaye, Abdoul Salam Diallo. 2022-12-05. 2-Ruled Hypersurfaces in a Walker 4-Manifold. https://doi.org/10.22190/fumi221202005d

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