  The hypersurface is one of the most important objects in a space. Many
authors studied diffrent geometric aspects of hypersurfaces in a space. In this
paper, we define three types of 2-ruled hypersurfaces in a Walker 4-manfold E
41 . We obtain the Gaussian and mean curvatures of the 2-ruled hypersurfaces of
type-1, type-2 and type 3. We give some characterizations about its minimality.
We also deal with the first Laplace-Beltrami operators of these types of
2-ruled hypersurfaces in the considered Walker 4-manifold.
