On the equivalence of the Ricci-pseudosymmetry and pseudosymmetry

Ryszard Deszcz; Marian Hotloś; Zerrin Şentürk

Colloquium Mathematicae (1999)

  • Volume: 79, Issue: 2, page 211-227
  • ISSN: 0010-1354

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Deszcz, Ryszard, Hotloś, Marian, and Şentürk, Zerrin. "On the equivalence of the Ricci-pseudosymmetry and pseudosymmetry." Colloquium Mathematicae 79.2 (1999): 211-227. <http://eudml.org/doc/210636>.

@article{Deszcz1999,
author = {Deszcz, Ryszard, Hotloś, Marian, Şentürk, Zerrin},
journal = {Colloquium Mathematicae},
keywords = {pseudosymmetry type manifolds; semisymmetric manifolds; pseudosymmetric manifold; Ricci-pseudosymmetric manifold},
language = {eng},
number = {2},
pages = {211-227},
title = {On the equivalence of the Ricci-pseudosymmetry and pseudosymmetry},
url = {http://eudml.org/doc/210636},
volume = {79},
year = {1999},
}

TY - JOUR
AU - Deszcz, Ryszard
AU - Hotloś, Marian
AU - Şentürk, Zerrin
TI - On the equivalence of the Ricci-pseudosymmetry and pseudosymmetry
JO - Colloquium Mathematicae
PY - 1999
VL - 79
IS - 2
SP - 211
EP - 227
LA - eng
KW - pseudosymmetry type manifolds; semisymmetric manifolds; pseudosymmetric manifold; Ricci-pseudosymmetric manifold
UR - http://eudml.org/doc/210636
ER -

References

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  1. K. Arslan, Y. Çelik, R. Deszcz and R. Ezentaş, On the equivalence of Ricci-semisymmetry and semisymmetry, Colloq. Math. 76 (1998), 279-294. Zbl0901.53010
  2. F. Defever, R. Deszcz, M. Hotloś, M. Kucharski and Z. Şentürk, On mani-folds of pseudosymmetry type, in: Geometry and Topology of Submanifolds, IX, World Sci., River Edge, N.J., in print. Zbl0998.53044
  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. Zbl0923.53018
  4. R. Deszcz, On four-dimensional Riemannian warped product manifolds satisfying certain pseudo-symmetry curvature conditions, Colloq. Math. 62 (1991), 103-120. Zbl0738.53008
  5. R. Deszcz, On pseudosymmetric spaces, Bull. Soc. Math. Belg. Sér. A 44 (1992), 1-34. Zbl0808.53012
  6. R. Deszcz and W. Grycak, On some class of warped product manifolds, Bull. Inst. Math. Acad. Sinica 15 (1987), 311-322. Zbl0633.53031
  7. R. Deszcz and W. Grycak, On certain curvature conditions on Riemannian manifolds, Colloq. Math. 58 (1990), 259-268. Zbl0707.53019
  8. R. Deszcz and M. Hotloś, On a certain subclass of pseudosymmetric manifolds, Publ. Math. Debrecen 53 (1998), 29-48. Zbl0907.53013
  9. R. Deszcz and M. Hotloś, On a certain extension of the class of semisymmetric manifolds, Publ. Inst. Math. (Beograd) (N.S.) 63 (77) (1998), 115-130. Zbl0949.53018
  10. R. Deszcz, M. Hotloś and Z. Şentürk, On a certain application of Patterson's identity, Dept. Math., Agricultural Univ. Wrocław, preprint No. 55, 1997. Zbl0973.53010
  11. R. Deszcz and M. Kucharski, On curvature properties of certain generalized Robertson-Walker spacetimes, Tsukuba J. Math., in print. Zbl0965.53047
  12. R. Deszcz and L. Verstraelen, Hypersurfaces of semi-Riemannian conformally flat manifolds, in: Geometry and Topology of Submanifolds, III, World Sci., River Edge, N.J., 1991, 131-147. 
  13. R. Deszcz and Ş. Yaprak, Curvature properties of Cartan hypersurfaces, Colloq. Math. 67 (1994), 91-98. Zbl0816.53032
  14. R W. Roter, On conformally symmetric Ricci-recurrent spaces, ibid. 31 (1974), 87-96. Zbl0292.53014
  15. R W. Roter, On generalized curvature tensors on some Riemannian manifolds, ibid. 37 (1977), 233-240. Zbl0382.53040
  16. P. J. Ryan, Hypersurfaces with parallel Ricci tensor, Osaka J. Math. 8 (1971), 251-259. Zbl0222.53025
  17. P. J. Ryan, A class of complex hypersurfaces, Colloq. Math. 26 (1972), 175-182. Zbl0243.53028
  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. Zbl0508.53025
  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. Zbl0846.53034

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