Geodesic
Quasi-Einstein hypersurfaces in semi-Riemannian space forms
Ryszard Deszcz1 ; Marian Hotloś2 ; Zerrin Sentürk3
1 Department of Mathematics Agricultural University of Wrocław Grunwaldzka 53 50-357 Wrocław, Poland
2 Institute of Mathematics Wrocław University of Technology Wybrzeże Wyspia/nskiego 27 50-370 Wrocław, Poland
3 Department of Mathematics Technical University of Istanbul 80626 Maslak, Istanbul, Turkey
Colloquium Mathematicum, Tome 89 (2001) no. 1, pp. 81-97 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We investigate curvature properties of hypersurfaces of a semi-Riemannian space form satisfying $R\cdot C=LQ(S,C)$, which is a curvature condition of pseudosymmetry type. We prove that under some additional assumptions the ambient space of such hypersurfaces must be semi-Euclidean and that they are quasi-Einstein Ricci-semisymmetric manifolds.
DOI : 10.4064/cm89-1-6
Keywords: investigate curvature properties hypersurfaces semi riemannian space form satisfying cdot which curvature condition pseudosymmetry type prove under additional assumptions ambient space hypersurfaces semi euclidean quasi einstein ricci semisymmetric manifolds

Ryszard Deszcz 1 ; Marian Hotloś 2 ; Zerrin Sentürk 3

1 Department of Mathematics Agricultural University of Wrocław Grunwaldzka 53 50-357 Wrocław, Poland
2 Institute of Mathematics Wrocław University of Technology Wybrzeże Wyspia/nskiego 27 50-370 Wrocław, Poland
3 Department of Mathematics Technical University of Istanbul 80626 Maslak, Istanbul, Turkey 
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Ryszard Deszcz; Marian Hotloś; Zerrin Sentürk. Quasi-Einstein hypersurfaces in
semi-Riemannian space forms. Colloquium Mathematicum, Tome 89 (2001) no. 1, pp. 81-97. doi: 10.4064/cm89-1-6

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