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Yarı Devirli Ricci Simetrik Manifoldlar Üzerine

On Pseudo Cyclic Ricci Symmetric Manifolds

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Abstract (2. Language): 
The object of the present paper is to study concircularly symmetric (PCRS)n, concircularly recurrent (PCRS)n, decomposable (PCRS)n. Among others it is shown that in a decomposable (PCRS)n one of the decompositions is Ricci flat and the other decomposition is cyclic parallel. The totally umbilical hypersurfaces of (PCRS)n are also studied.
Abstract (Original Language): 
Bu makalenin amacı, konsirkular simetrik (PCRS)n, konsirkular tekrarlı (PCRS)n, ayrışabilir (PCRS)n manifoldları incelemektir. (PCRS)n ayrışabilir manifoldunda ayrışımlardan birisinin Ricci düzlemsellik (flat), diğerinin de devirli paralellik olduğu gösterilmiştir. Aynı zamanda (PCRS)n nin tümüyle umbilik hiperyüzeyleri çalışılmıştır.
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REFERENCES

References: 

[1] Patterson E.M., 1952. Some theorems on Ricci-recurrent spaces, Journal of London Mathematical Society, 27, 287-295.
[2] Szabo Z.I., 1982. Structure theorems on Riemannian spaces satisfying R(X,Y). R = 0, The local
version, Journal of Differential Geometry, 17, 531-582. [3] Chaki M.C., 1988. On pseudo Ricci symmetric manifolds, Bulgarian Journal ofPhysics, 15, 526-531. [4] Shaikh A.A., Hui S.K., 2009. On pseudo cyclic Ricci symmetric manifolds, Asian-European Journal
of Mathematics, 2 (2): 227-237.
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SDU Journal of Science (E-Journal), 2011, 6 (1): 73-81
[5] Shaikh A.A., Hui S.K., 2010. On pseudo cyclic Ricci symmetric manifolds admitting semi-symmetric
connection, Scientia, Series A: Mathematical Sciences, 20, 73-80. [6] Shaikh A.A., Hui S.K., 2010. On pseudo cyclic Ricci symmetric spacetimes, Advanced Studies in
Contemporary Mathematics, 20 (3): 425-432. [7] Shaikh A.A., Hui S.K., 2011. Some global properties of pseudo cyclic Ricci symmetric manifolds,
Applied Sciences, 13, 97-101. [8] Özen F., Altay S., 2001. On weakly and pseudo symmetric Riemannian spaces, Indian Journal of
Pure and Applied Mathematics, 33 (10): 1477-1488. [9] Özen F., Altay S., 2008. On weakly and pseudo concircular symmetric structures on a Riemannian
manifold, Acta Universitatis Palackianae Olomucensis Facultas Rerum Naturalium,
Mathematica, 47, 129-138. [10] Shaikh A.A., Roy I., Hui S. K., 2010. On totally umbilical hypersurfaces of weakly conharmonically
symmetric spaces, Global Journal Science Frontier Research, 10 (4): 28-30. [11] Khan Q., 2004. On recurrent Riemannian manifolds, KyungpookMathematical Journal, 44, 269-276. [12] Ruse H.S., 1947. Three dimensional spaces of recurrent curvature, Proceedings of London
Mathematical Society, 50 (2): 438-446. [13] Yano K., Kon M., 1986. Structure on manifolds, Series in Pure Mathematics,Vol. 3, World Scientific
Publishing, Singapore. [14] Chen B.Y., 1973. Geometry of submanifolds, Marcel-Dekker, New York, p. 298. [15] Eisenhart L.P., 1949. Riemannian Geometry, Princeton University Press, Princeton, New Jersey,
p. 306.

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