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 $E^4$ and give some results about them.

中文翻译：

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欧几里得四空间中的2规则超曲面

在本文中，首先借助其一般参数方程，获得了欧几里得4空间中2规则超曲面的高斯图（单位法向矢量场）。之后，我们获得了2规则超曲面的高斯曲率和平均曲率，并给出了其极小值的一些特征。最后，我们讨论了2规则超曲面的第一和第二Laplace-Beltrami算符$E^4$ 并给出一些有关它们的结果。