- Mathematical Sciences and Applications E-Notes
- Volume:2 Issue:1
- HYPERSURFACES SATISFYING SOME CURVATURE CONDITIONS ON PSEUDO PROJECTIVE CURVATURE TENSOR IN THE SEMI...
HYPERSURFACES SATISFYING SOME CURVATURE CONDITIONS ON PSEUDO PROJECTIVE CURVATURE TENSOR IN THE SEMI-EUCLIDEAN SPACE
Authors : YUSUF DOĞRU
Pages : 99-105
Doi:10.36753/mathenot.207636
View : 33 | Download : 7
Publication Date : 2014-06-01
Article Type : Research Paper
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.sKeywords : Pseudo projective curvature tensor, pseudosymmetric manifold, Ricci semisymmetric manifold
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