On Weyl pseudosymmetric hypersurfaces

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1. [1] T. E. Cecil and P. J. Ryan, Tight and Taut Immersions of Manifolds, Pitman, Boston, 1988. Zbl0596.53002
2. [2] F. Defever, R. Deszcz, P. Dhooghe, L. Verstraelen and Ş. Yaprak, On Ricci-pseudosymmetric hypersurfaces in spaces of constant curvature, Results in Math. 27 (1995), 227-236. Zbl0832.53015
3. [3] F. Defever, R. Deszcz, Z. Şentürk, L. Verstraelen and Ş. Yaprak, P. J. Ryan's problem in semi-Euclidean space, to appear. Zbl0952.53013
4. [4] J. Deprez, R. Deszcz and L. Verstraelen, Pseudo-symmetry curvature conditions on hypersurfaces of Euclidean spaces and on Kählerian manifolds, Ann. Fac. Sci. Toulouse 9 (1988), 183-192. Zbl0668.53010
5. [5] J. Deprez, R. Deszcz and L. Verstraelen, Examples of pseudo-symmetric conformally flat warped products, Chinese J. Math. 17 (1989), 51-65. Zbl0678.53022
6. [6] A. Derdziński, Exemples de métriques de Kaehler et d'Einstein autoduales sur le plan complexe, in: Géométrie riemannienne en dimension 4 (Séminaire Arthur Besse 1978/79), Cedic/Fernand Nathan, Paris, 1981, 334-346. Zbl0477.53025
7. [7] R. Deszcz, On Ricci-pseudosymmetric warped products, Demonstratio Math. 22 (1989), 1053-1065. Zbl0707.53020
8. [8] R. Deszcz, Examples of four-dimensional Riemannian manifolds satisfying some pseudosymmetry curvature conditions, in: Geometry and Topology of Submanifolds 2, World Sci., Singapore, 1990, 134-143. 
9. [9] R. Deszcz, On four-dimensional Riemannian warped product manifolds satisfying certain pseudosymmetry curvature conditions, Colloq. Math. 62 (1991), 103-120. Zbl0738.53008
10. [10] R. Deszcz, Pseudosymmetry curvature conditions imposed on the shape operators of hypersurfaces in the affine spaces, Results in Math. 20 (1991), 600-621. Zbl0752.53009
11. [11] R. Deszcz, On pseudosymmetric spaces, Bull. Soc. Math. Belg. Sér. A 44 (1992), 1-34. Zbl0808.53012
12. [12] R. Deszcz, Curvature properties of a certain compact pseudosymmetric manifold, Colloq. Math. 65 (1993), 139-147. Zbl0823.53030
13. [13] R. Deszcz, On pseudosymmetric manifolds, Dept. Math., Agricultural Univ. Wrocław, Preprint No. 34, 1995. Zbl0843.53011
14. [14] R. Deszcz, On certain classes of hypersurfaces in spaces of constant curvature, in: Geometry and Topology of Submanifolds 8, World Sci., Singapore, 1996, in print. Zbl0936.53037
15. [15] R. Deszcz, S. Ewert-Krzemieniewski and J. Policht, On totally umbilical submanifolds of conformally birecurrent manifolds, Colloq. Math. 55 (1988), 79-96. Zbl0667.53021
16. [16] R. Deszcz and W. Grycak, On some class of warped product manifolds, Bull. Inst. Math. Acad. Sinica 15 (1987), 311-322. Zbl0633.53031
17. [17] R. Deszcz and W. Grycak, On manifolds satisfying some curvature conditions, Colloq. Math. 57 (1989), 89-92. Zbl0698.53011
18. [18] R. Deszcz and W. Grycak, On certain curvature conditions on Riemannian manifolds, ibid. 58 (1990), 259-268. Zbl0707.53019
19. [19] R. Deszcz and M. Hotloś, Remarks on Riemannian manifolds satisfying a certain curvature condition imposed on the Ricci tensor, Prace Nauk. Pol. Szczec. 11 (1989), 23-34. Zbl0744.53008
20. [20] R. Deszcz and M. Hotloś, Notes on pseudo-symmetric manifolds admitting special geodesic mappings, Soochow J. Math. 15 (1989), 19-27. Zbl0696.53014
21. [21] R. Deszcz and L. Verstraelen, Hypersurfaces of semi-Riemannian conformally flat manifold, in: Geometry and Topology of Submanifolds 3, Singapore, 1991, 131-147. 
22. [22] R. Deszcz, L. Verstraelen and Ş. Yaprak, Pseudosymmetric hypersurfaces in 4-dimensional spaces of constant curvature, Bull. Inst. Math. Acad. Sinica 22 (1994), 167-179. Zbl0811.53014
23. [23] R. Deszcz, L. Verstraelen and Ş. Yaprak, Hypersurfaces with pseudosymmetric Weyl tensor in conformally flat manifolds, Dept. Math. Agricultural Univ. Wrocław, preprint No. 32, 1995. Zbl0936.53038
24. [24] R. Deszcz and Ş. Yaprak, Curvature properties of Cartan hypersurfaces, Colloq. Math. 67 (1994), 91-98. Zbl0816.53032
25. [25] R. Deszcz and Ş. Yaprak, Curvature properties of certain pseudosymmetric manifolds, Publ. Math. Debrecen 45 (1994), 333-345. Zbl0827.53031
26. [26] W. Grycak, Riemannian manifolds with a symmetry condition imposed on the 2-nd derivative of the conformal curvature tensor, Tensor (N.S.) 46 (1987), 287-290. Zbl0694.53017
27. [27] Ü. Pinkall, Dupin hypersurfaces, Math. Ann. 270 (1985), 427-440. Zbl0538.53004
28. [28] L. Verstraelen, Comments on pseudo-symmetry in the sense of Ryszard Deszcz, in: Geometry and Topology of Submanifolds 6, World Sci., Singapore, 1994, 199-209. Zbl0846.53034