Generalized Helical Hypersurface with Space-like Axis in Minkowski 5-Space
Copyright policy )Generalized Helical Hypersurface with Space-like Axis in Minkowski 5-Space
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.
- Bartin University Turkey
Curvature, Elementary particle physics, Minkowski 5-space, QC793-793.5, Lorentzian Inner Product, Lorentzian quadruple vector product, helical hypersurface, Minkowski 5-Space, Lorentzian inner product, Gauss Map, Lorentzian Quadruple Vector Product, Gauss map, curvature, Helical Hypersurface
Curvature, Elementary particle physics, Minkowski 5-space, QC793-793.5, Lorentzian Inner Product, Lorentzian quadruple vector product, helical hypersurface, Minkowski 5-Space, Lorentzian inner product, Gauss Map, Lorentzian Quadruple Vector Product, Gauss map, curvature, Helical Hypersurface
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