On the equivalence of the Ricci-pseudosymmetry and pseudosymmetry

• Autorzy: Ryszard Deszcz , Marian Hotloś , Zerrin Şentürk
• Języki publikacji: EN

Słowa kluczowe

EN

pseudosymmetry type manifolds; semisymmetric manifolds

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1999
• Tom: 79
• Numer: 2
• Strony: 211-227

Daty

wydano

1999

otrzymano

1998-02-09

poprawiono

1998-07-20

Twórcy

autor

Ryszard Deszcz

• Department of Mathematics, Agricultural University of Wrocław, Grunwaldzka 53, 50-357 Wrocław, Poland

autor

Marian Hotloś

• Institute of Mathematics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

autor

Zerrin Şentürk

• Department of Mathematics, Technical University of Istanbul, 80626 Maslak, Istanbul, Turkey

Bibliografia

• K. Arslan, Y. Çelik, R. Deszcz and R. Ezentaş, On the equivalence of Ricci-semisymmetry and semisymmetry, Colloq. Math. 76 (1998), 279-294.
• 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.
• 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.
• R. Deszcz, On four-dimensional Riemannian warped product manifolds satisfying certain pseudo-symmetry curvature conditions, Colloq. Math. 62 (1991), 103-120.
• R. Deszcz, On pseudosymmetric spaces, Bull. Soc. Math. Belg. Sér. A 44 (1992), 1-34.
• R. Deszcz and W. Grycak, On some class of warped product manifolds, Bull. Inst. Math. Acad. Sinica 15 (1987), 311-322.
• R. Deszcz and W. Grycak, On certain curvature conditions on Riemannian manifolds, Colloq. Math. 58 (1990), 259-268.
• R. Deszcz and M. Hotloś, On a certain subclass of pseudosymmetric manifolds, Publ. Math. Debrecen 53 (1998), 29-48.
• 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.
• R. Deszcz, M. Hotloś and Z. Şentürk, On a certain application of Patterson's identity, Dept. Math., Agricultural Univ. Wrocław, preprint No. 55, 1997.
• R. Deszcz and M. Kucharski, On curvature properties of certain generalized Robertson-Walker spacetimes, Tsukuba J. Math., in print.
• 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.
• R. Deszcz and Ş. Yaprak, Curvature properties of Cartan hypersurfaces, Colloq. Math. 67 (1994), 91-98.
• R W. Roter, On conformally symmetric Ricci-recurrent spaces, ibid. 31 (1974), 87-96.
• R W. Roter, On generalized curvature tensors on some Riemannian manifolds, ibid. 37 (1977), 233-240.
• P. J. Ryan, Hypersurfaces with parallel Ricci tensor, Osaka J. Math. 8 (1971), 251-259.
• P. J. Ryan, A class of complex hypersurfaces, Colloq. Math. 26 (1972), 175-182.
• 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.
• 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.