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

Year 2014, , 99 - 105, 01.06.2014

YUSUF Doğru

https://doi.org/10.36753/mathenot.207636

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

Keywords

Pseudo projective curvature tensor, pseudosymmetric manifold, Ricci-semisymmetric manifold

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