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On some class of hypersurfaces of semi-Euclidean spaces

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Murathan, Cengizhan
Arslan, Kadri
Ezentaş, Rıdvan
Özgür, Cihan

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Deszcz, Ryszard

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Kossuth Lajos Tudomanyegyetem

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Abstract

In the paper we prove that under some additional curvature condition the relations R.R = 0 and R.S = 0 are equivalent for hypersurfaces of semi-Euclidean spaces. We present also examples of hypersurfaces having the curvature tenser expressed by the square, in the sense of the Kulkarni-Nomizu product, of the Ricci tenser.

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Mathematics, Hypersurface, Structure theorems, Pseudosymmetry type manifold, Ricci-semisymmetric manifold, Semisymmetric manifold

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Murathan, C. vd. (2001). "On some class of hypersurfaces of semi-Euclidean spaces". Publicationes Mathematicae-Debrecen, 58(4), 587-604.

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