Quasi-Einstein hypersurfaces in semi-Riemannian space forms
Ryszard Deszcz ; Marian Hotloś ; Zerrin Sentürk
Colloquium Mathematicae, Tome 89 (2001), p. 81-97 / Harvested from The Polish Digital Mathematics Library
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We investigate curvature properties of hypersurfaces of a semi-Riemannian space form satisfying R·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.

Publié le : 2001-01-01
EUDML-ID : urn:eudml:doc:283772 
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     year = {2001},
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Ryszard Deszcz; Marian Hotloś; Zerrin Sentürk. Quasi-Einstein hypersurfaces in semi-Riemannian space forms. Colloquium Mathematicae, Tome 89 (2001) pp. 81-97. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm89-1-6/