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- Title
Generalized Helical Hypersurface with Space-like Axis in Minkowski 5-Space.
- Authors
Güler, Erhan
- Abstract
We introduce the generalized helical hypersurface having a space-like axis in five-dimensional Minkowski space. We compute the first and second fundamental form matrices, Gauss map, and shape operator matrix of the hypersurface. Additionally, we compute the curvatures of the hypersurface by using the Cayley–Hamilton theorem. Moreover, we give some relations for the mean and the Gauss–Kronecker curvatures of the hypersurface. Finally, we obtain the Laplace–Beltrami operator of the hypersurface.
- Subjects
GAUSS maps; MINKOWSKI space; CURVATURE; HYPERSURFACES
- Publication
Universe (2218-1997), 2023, Vol 9, Issue 3, p152
- ISSN
2218-1997
- Publication type
Article
- DOI
10.3390/universe9030152