Geodesic
On Curvature Characterizations of Some Hypersurfaces in Spaces of Constant Curvature
Publications de l'Institut Mathématique, _N_S_79 (2006) no. 93, p. 95 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

We investigate curvature properties of pseudosymmetry type of hypersurfaces in semi-Riemannian spaces of constant curvature having the minimal polynomial for the second fundamental tensor of third degree. Among other things we show that the curvature tensor of such hypersurfaces satisfies some condition, which is a generalization of the Roter type equation.
DOI : 10.2298/PIM0693095S
Classification : 53B20, 53B25 53C25
Keywords: warped product, hypersurface, pseudosymmetry type condition, the Roter type equation 
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     title = {On {Curvature} {Characterizations} of {Some} {Hypersurfaces} in {Spaces} of {Constant} {Curvature}},
     journal = {Publications de l'Institut Math\'ematique},
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Katarzyna Sawicz. On Curvature Characterizations of Some Hypersurfaces in Spaces of Constant Curvature. Publications de l'Institut Mathématique, _N_S_79 (2006) no. 93, p. 95 . doi : 10.2298/PIM0693095S. http://geodesic.mathdoc.fr/articles/10.2298/PIM0693095S/

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