On pseudosymmetric para-Kähler manifolds

 Access to full text

 Full (PDF)

1. [1] S. Bochner, Curvature and Betti numbers, II, Ann. of Math. 50 (1949), 77-94. 
2. [2] F. Defever, R. Deszcz and L. Verstraelen, On semisymmetric para-Kähler manifolds, Acta Math. Hungar. 74 (1997), 7-17. Zbl0922.53009
3. [3] F. Defever, R. Deszcz, L. Verstraelen and L. Vrancken, On pseudosymmetric spacetimes, J. Math. Phys. 35 (1994), 5908-5921. Zbl0821.53023
4. [4] J. Deprez, R. Deszcz and L. Verstraelen, Pseudosymmetry curvature conditions on hypersurfaces of Euclidean spaces and on Kählerian manifolds, Ann. Fac. Sci. Toulouse 9 (1988), 183-192. Zbl0668.53010
5. [5] A. Derdziński, Examples 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. 
6. [6] R. Deszcz, On pseudosymmetric spaces, Bull. Soc. Math. Belg. Sér. A 44 (1992), 1-34. Zbl0808.53012
7. [7] R. Deszcz and W. Grycak, On manifolds satisfying some curvature conditions, Colloq. Math. 57 (1989), 89-92. Zbl0698.53011
8. [8] M. Hotloś, On a certain class of Kählerian manifolds, Demonstratio Math. 12 (1979), 935-945. Zbl0449.53048
9. [9] M. Hotloś, On holomorphically pseudosymmetric Kählerian manifolds, in: Geometry and Topology of Submanifolds, VII, World Scientific, River Edge, N.J., 1995, 139-142. 
10. [10] C. C. Hsiung, Almost Complex and Complex Structures, World Scientific, Singapore, 1995. 
11. [11] Z. Olszak, Bochner flat Kählerian manifolds with a certain condition on the Ricci tensor, Simon Stevin 63 (1989), 295-303. Zbl0629.53059
12. [12] G. B. Rizza, Varietà parakähleriane, Ann. Mat. Pura Appl. (4) 98 (1974), 47-61. 
13. [13] S. Sawaki and K. Sekigawa, Almost Hermitian manifolds with constant holomorphic sectional curvature, J. Differential Geom. 9 (1974), 123-134. Zbl0277.53036
14. [14] Z. I. Szabó, Structure theorems on Riemannian spaces satisfying R(X,Y) · R = 0. I. The local version, ibid. 17 (1982), 531-582. Zbl0508.53025
15. [15] S. Tachibana, On the Bochner curvature tensor, Natur. Sci. Rep. Ochanomizu Univ. 18 (1967), 15-19. Zbl0161.41202
16. [16] L. Verstraelen, Comments on pseudosymmetry in the sense of Ryszard Deszcz, in: Geometry and Topology of Submanifolds VI, World Scientific, River Edge, N.J., 1994, 199-209. Zbl0846.53034
17. [17] H. Yanamoto, On orientable hypersurfaces of ℝ^7 satisfying R(X,Y) ∘ F = 0, Res. Rep. Nagaoka Tech. College 8 (1972), 9-14. 
18. [18] K. Yano and S. Bochner, Curvature and Betti Numbers, Ann. of Math. Stud. 32, Princeton Univ. Press, 1953. 

1. N. Malekzadeh, E. Abedi, U.C. De, Pseudosymmetric and Weyl-pseudosymmetric $(\kappa ,\mu )$-contact metric manifolds