2-Ruled Hypersurfaces in a Walker 4-Manifold
Differential Geometry
2025-08-15 v1
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.
Keywords
Cite
@article{arxiv.2212.02121,
title = {2-Ruled Hypersurfaces in a Walker 4-Manifold},
author = {Mohamed Ayatola Dramé and Ameth Ndiaye and Abdoul Salam Diallo},
journal= {arXiv preprint arXiv:2212.02121},
year = {2025}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2205.10808