Abstract

We investigate curvature properties of hypersurfaces of a semi-Rieman- nian space form satisfyingR·C = LQ(S,C), which is a curvature condition of pseu- dosymmetry type. We prove that under some additional assumptions the ambient space of such hypersurfaces must be semi-Euclidean and that they a re quasi-Einstein Ricci- semisymmetricmanifolds.

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