2-Ruled hypersurfaces in Euclidean 4-space

Abstract

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 obtain Gaussian and mean curvatures of the 2-ruled hypersurface and give some characterizations about its minimality. Finally, we deal with the first and second Laplace–Beltrami operators of 2-ruled hypersurfaces in E4 and give some results about them.