Generalized Helical Hypersurfaces Having Time-like Axis in Minkowski Spacetime
Copyright policy )Generalized Helical Hypersurfaces Having Time-like Axis in Minkowski Spacetime
In this paper, the generalized helical hypersurfaces x=x(u,v,w) with a time-like axis in Minkowski spacetime E14 are considered. The first and the second fundamental form matrices, the Gauss map, and the shape operator matrix of x are calculated. Moreover, the curvatures of the generalized helical hypersurface x are obtained by using the Cayley–Hamilton theorem. The umbilical conditions for the curvatures of x are given. Finally, the Laplace–Beltrami operator of the generalized helical hypersurface with a time-like axis is presented in E14.
- Bartin University Turkey
Curvature, Triple Lorentzian Vector Product, Elementary particle physics, Minkowski Four-Space, QC793-793.5, Lorentzian Inner Product, triple Lorentzian vector product, Generalized Helical Hypersurface, Lorentzian inner product, Gauss Map, generalized helical hypersurface, Gauss map, curvature, Minkowski four-space
Curvature, Triple Lorentzian Vector Product, Elementary particle physics, Minkowski Four-Space, QC793-793.5, Lorentzian Inner Product, triple Lorentzian vector product, Generalized Helical Hypersurface, Lorentzian inner product, Gauss Map, generalized helical hypersurface, Gauss map, curvature, Minkowski four-space
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