On pseudosymmetric para-Kähler manifolds
Defever, Filip ; Verstraelen, Leopold ; Deszcz, Ryszard
Colloquium Mathematicae, Tome 78 (1998), p. 253-260 / Harvested from The Polish Digital Mathematics Library
Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:210515
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     author = {Filip Defever and Leopold Verstraelen and Ryszard Deszcz},
     title = {On pseudosymmetric para-K\"ahler manifolds},
     journal = {Colloquium Mathematicae},
     volume = {78},
     year = {1998},
     pages = {253-260},
     zbl = {0903.53025},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv74i2p253bwm}
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Defever, Filip; Verstraelen, Leopold; Deszcz, Ryszard. On pseudosymmetric para-Kähler manifolds. Colloquium Mathematicae, Tome 78 (1998) pp. 253-260. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv74i2p253bwm/

[000] [1] S. Bochner, Curvature and Betti numbers, II, Ann. of Math. 50 (1949), 77-94.

[001] [2] F. Defever, R. Deszcz and L. Verstraelen, On semisymmetric para-Kähler manifolds, Acta Math. Hungar. 74 (1997), 7-17. | Zbl 0922.53009

[002] [3] F. Defever, R. Deszcz, L. Verstraelen and L. Vrancken, On pseudosymmetric spacetimes, J. Math. Phys. 35 (1994), 5908-5921. | Zbl 0821.53023

[003] [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. | Zbl 0668.53010

[004] [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.

[005] [6] R. Deszcz, On pseudosymmetric spaces, Bull. Soc. Math. Belg. Sér. A 44 (1992), 1-34. | Zbl 0808.53012

[006] [7] R. Deszcz and W. Grycak, On manifolds satisfying some curvature conditions, Colloq. Math. 57 (1989), 89-92. | Zbl 0698.53011

[007] [8] M. Hotloś, On a certain class of Kählerian manifolds, Demonstratio Math. 12 (1979), 935-945. | Zbl 0449.53048

[008] [9] M. Hotloś, On holomorphically pseudosymmetric Kählerian manifolds, in: Geometry and Topology of Submanifolds, VII, World Scientific, River Edge, N.J., 1995, 139-142.

[009] [10] C. C. Hsiung, Almost Complex and Complex Structures, World Scientific, Singapore, 1995.

[010] [11] Z. Olszak, Bochner flat Kählerian manifolds with a certain condition on the Ricci tensor, Simon Stevin 63 (1989), 295-303. | Zbl 0629.53059

[011] [12] G. B. Rizza, Varietà parakähleriane, Ann. Mat. Pura Appl. (4) 98 (1974), 47-61.

[012] [13] S. Sawaki and K. Sekigawa, Almost Hermitian manifolds with constant holomorphic sectional curvature, J. Differential Geom. 9 (1974), 123-134. | Zbl 0277.53036

[013] [14] Z. I. Szabó, Structure theorems on Riemannian spaces satisfying R(X,Y) · R = 0. I. The local version, ibid. 17 (1982), 531-582. | Zbl 0508.53025

[014] [15] S. Tachibana, On the Bochner curvature tensor, Natur. Sci. Rep. Ochanomizu Univ. 18 (1967), 15-19. | Zbl 0161.41202

[015] [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. | Zbl 0846.53034

[016] [17] H. Yanamoto, On orientable hypersurfaces of ℝ^7 satisfying R(X,Y) ∘ F = 0, Res. Rep. Nagaoka Tech. College 8 (1972), 9-14.

[017] [18] K. Yano and S. Bochner, Curvature and Betti Numbers, Ann. of Math. Stud. 32, Princeton Univ. Press, 1953.