Particular semisymmetric manifolds are Ricci semi-symmetric, that is semi-Riemannian manifolds
are the Riemannian curvature and the Ricci tensor, respectively. Generalizing Einstein manifolds, the quasi-Einstein manifolds satisfy
is the scalar curvature,
is a 1-form and
is a function. The main result here states that any quasi-Einstein Ricci-semisymmetric hypersurface of a semi-Euclidean space satisfies:
is the Weyl tensor. The class of Ricci-simple (i.e.,
) semisymmetric manifolds is characterized and certain quasi-Einstein semisymmetric hypersurfaces are shown to be in this class.