Publication: Quasi-Einstein hypersurfaces in semi-Riemannian space forms
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Institute of Mathematics, Polish Academy of Sciences
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Abstract
The paper is devoted to curvature properties of hypersurfaces of semi-Riemannian space forms satisfying some special condition of pseudosymmetry type. Under some special assumptions, the ambient manifold must be semi-Euclidean, and the respective hypersurfaces are quasi-Einstein Ricci-semisymmetric manifolds.
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Subject
Local Riemannian geometry, Special Riemannian manifolds (Einstein, Sasakian, etc.), Local differential geometry of Lorentz metrics, indefinite metrics, quasi- Einstein manifold, Applications of local differential geometry to the sciences, Ricci- semisymmetric manifold, hypersurface