Affiliation:
1. Department of Mathematics, Faculty of Sciences, Bartın University, Kutlubey Campus, Bartın 74100, Turkey
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.
Subject
General Physics and Astronomy
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2 articles.
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