HYPERSURFACES SATISFYING SOME CURVATURE CONDITIONS ON PSEUDO PROJECTIVE CURVATURE TENSOR IN THE SEMI-EUCLIDEAN SPACE

Abstract

We consider some curvature conditions on the Pseudo projectivecurvature tensor P on a hypersurface in the semi-Euclidean space En+1. Wes prove that every pseudo projectively Ricci-semisymmetric hypersurface M satisfying the condition P · R = 0 is pseudosymmetric. We also consider thecondition P · S = 0 on hypersurfaces of the semi-Euclidean space En+1.s