PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 67(81), pp. 103111 (2000) 

Semisymmetry and Riccisymmetry for hypersurfaces of semiEuclidean spacesMarta D\c abrowska, Filip Defever, Ryszard Deszcz and Dorota KowalczykDepartment of Mathematics, Agricultural University of Wroclaw, Poland and Department Wiskunde, Katholieke Universiteit Leuven, BelgiumAbstract: In the context of P.J. Ryan's problem on the equivalence of the conditions $R \cdot R = 0$ and $R \cdot S = 0$ for hypersurfaces, we prove that there is indeed equivalence for hypersurfaces of semiEuclidean spaces in any dimension, under an additional curvature condition of semisymmetric type. Classification (MSC2000): 53B20; 53B30 Full text of the article:
Electronic fulltext finalized on: 21 Dec 2000. This page was last modified: 16 Nov 2001.
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