We present a family of hypersurfaces of revolution distinguished by four parameters in the
five-dimensional pseudo-Euclidean space E 2 5. The matrices corresponding to the …

The twisted hypersurfaces x with the (0, 0, 0, 0, 1) rotating axis in five-dimensional Euclidean
space E 5 is considered. The fundamental forms, the Gauss map, and the shape operator of …

In this study, we introduce a family of hypersurfaces of revolution characterized by six
parameters in the seven-dimensional pseudo-Euclidean space ${\mathbb {E}} _ {3}^{7} …

In the four-dimensional Minkowski space, hypersurfaces classified as right conoids with a
time-like axis are introduced and studied. The computation of matrices associated with the …

We present an exploration of helical or twisted hypersurfaces family denoted as x, which are
dependent on three parameters and possess a space-like axis in the Minkowski 4-space 𝕃 …

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 …

We investigate the class of helical hypersurfaces parametrized by x= x (u, v, w),
characterized by a light-like axis in Minkowski spacetime L 4. We determine the matrices that …

A family of helicoidal hypersurfaces, denoted as x (u, v, s, t), is introduced within the context
of the five-dimensional Euclidean space E5. Matrices for the first and second fundamental …

We introduce fourth fundamental form IV, and i-th curvature formulas of hypersurfaces in the
four dimensional Euclidean geometry E 4. Defining fourth fundamental form and i-th …

The right conoid hypersurfaces in the four-dimensional Euclidean space $\mathbb {E}^{4} $
are introduced. The matrices corresponding to the fundamental form, Gauss map, and shape …