On hypersurfaces satisfying conditions determined by the Opozda–Verstraelen affine curvature tensor

Using the Blaschke-Berwald metric and affine shape operator of a hypersurface M in (n+1)-dimensional real space we can define some generalized curvature tensor named Opozda-Verstraelen tensor. In this paper determine conditions pseudosymmetry type expressed by for locally strongly convex hypersurfaces M, n>2, with two distinct principal curvatures or three assuming that at least one has multiplicity 1.