ArticleOriginal scientific text

Title

On the equivalence of the Ricci-pseudosymmetry and pseudosymmetry

Authors 1, 2, 3

Affiliations

  1. Department of Mathematics, Agricultural University of Wrocław, Grunwaldzka 53, 50-357 Wrocław, Poland
  2. Institute of Mathematics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland
  3. Department of Mathematics, Technical University of Istanbul, 80626 Maslak, Istanbul, Turkey

Keywords

pseudosymmetry type manifolds, semisymmetric manifolds

Bibliography

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  3. F. Defever, R. Deszcz and M. Prvanović, On warped product manifolds satisfying some curvature conditions of pseudosymmetry type, Bull. Greek Math. Soc. 36 (1994), 43-67.
  4. R. Deszcz, On four-dimensional Riemannian warped product manifolds satisfying certain pseudo-symmetry curvature conditions, Colloq. Math. 62 (1991), 103-120.
  5. R. Deszcz, On pseudosymmetric spaces, Bull. Soc. Math. Belg. Sér. A 44 (1992), 1-34.
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  8. R. Deszcz and M. Hotloś, On a certain subclass of pseudosymmetric manifolds, Publ. Math. Debrecen 53 (1998), 29-48.
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  14. R W. Roter, On conformally symmetric Ricci-recurrent spaces, ibid. 31 (1974), 87-96.
  15. R W. Roter, On generalized curvature tensors on some Riemannian manifolds, ibid. 37 (1977), 233-240.
  16. P. J. Ryan, Hypersurfaces with parallel Ricci tensor, Osaka J. Math. 8 (1971), 251-259.
  17. P. J. Ryan, A class of complex hypersurfaces, Colloq. Math. 26 (1972), 175-182.
  18. Z. I. Szabó, Structure theorems on Riemannian spaces satisfying R(X,Y)·R=0. I. The local version, J. Differential Geom. 17 (1982), 531-582.
  19. V L. Verstraelen, Comments on pseudosymmetry in the sense of Ryszard Deszcz, in: Geometry and Topology of Submanifolds, VI, World Sci., River Edge, N.J., 1994, 199-209.
Pages:
211-227
Main language of publication
English
Received
1998-02-09
Accepted
1998-07-20
Published
1999
Exact and natural sciences