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Zbl 0991.53009
Deszcz, Ryszard; Hotloś, Marian; Ṣentürk, Zerrin
Quasi-Einstein hypersurfaces in semi-Riemannian space forms. (English)
[J] Colloq. Math. 89, No.1, 81-97 (2001). ISSN 0010-1354; ISSN 1730-6302/e

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.
[Gabriel Teodor Pripoae (Bucureşti)]

MSC 2000:: *53B30 Lorentz metrics, indefinite metrics
53B20 Local Riemannian geometry
53B50 Appl. of local differential geometry to physics
53C25 Special Riemannian manifolds

Keywords: Ricci- semisymmetric manifold; quasi- Einstein manifold; hypersurface

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Zentralblatt MATH Berlin [Germany]