A Ricci-semi-symmetric hypersurface of Euclidean space which is not semi-symmetric

Author:

Abdalla Bahaa,Dillen Franki

Abstract

We construct the first explicit example of a Ricci-semi-symmetric hypersurface of Euclidean space which is not semi-symmetric.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference8 articles.

1. F. Defever, Solution of a problem of P.J. Ryan, preprint 1999.

2. P. J. Ryan’s problem in semi-Riemannian space forms;Defever, F.;Glasg. Math. J.,1999

3. R. Deszcz, On the equivalence of Ricci-semisymmetry and semisymmetry, Department of Mathematics, Agricultural University Wroclaw, Ser. A, Theory and Methods, Preprint No. 64, Wroclaw 1998.

4. R. Deszcz and M. Glogowska, Examples of nonsemisymmetric Ricci-semisymmetric hypersurfaces, Department of Mathematics, Agricultural University Wroclaw, Ser. A, Theory and Methods, Preprint No. 79, Wroclaw 2000.

5. Complete hypersurfaces with 𝑅𝑆=0 in 𝐸ⁿ⁺¹;Matsuyama, Yoshio;Proc. Amer. Math. Soc.,1983

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