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 paper, the generalized helical hypersurfaces x= x (u, v, w) with a time-like axis in
Minkowski spacetime E 1 4 are considered. The first and the second fundamental form …

We define helical (ie, helicoidal) hypersurfaces depending on the axis of rotation in
Minkowski four-space E 1 4. There are three types of helicoidal hypersurfaces. We derive …

In this paper we generalize 3-dimensional Bour's Theorem to the case of 4-dimension. We
proved that a helicoidal surface in $\mathbb {R}^ 4$ is isometric to a family of surfaces of …

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 …

It is proved that, in Minkowski 3-space, a CSM-helicoidal surface, ie, a helicoidal surface
under cubic screw motion is isometric to a rotation surface so that helices on the helicoidal …

In this paper, we define generalized helicoidal surface in the four dimensional Euclidean
space ${\mathbb {E}}^{4} $. We compute two normals and the curvatures of helicoidal …

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 …

In this paper, we study on three kinds of spacelike helicoidal surfaces in Minkowski $4 $--
space. First, we give an isometry between such helicoidal surfaces and rotational surfaces …