The theory of finite type submanifolds was introduced by the first author in late 1970s and it
has become a useful tool for investigation of submanifolds. Later, the first author and P …

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 …

We consider rotational hypersurface in the four-dimensional Euclidean space E^ 4 E 4. We
study the Gauss map GG of rotational hypersurface in E^ 4 E 4 with respect to the so-called …

In this study, rotational hypersurfaces in the 4-dimensional Euclidean space are discussed.
Some relations of curvatures of hypersurfaces are given, such as the mean, Gaussian, and …

In this paper, firstly we obtain the Gauss map (unit normal vector field) of a 2-ruled
hypersurface in Euclidean 4-space with the aid of its general parametric equation. After, we …

In the present study, firstly we give the mean and Gaussian curvatures of a Monge
hypersurface in 4-dimensional Euclidean space. After this, we study on Monge …

We consider the birotational hypersurface $\mathbf {x (} u, v, w\mathbf {)} $ with the second
Laplace-Beltrami operator in the four dimensional Euclidean space ${\mathbb {E}}^{4}. $ We …

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 …