PROPERTIES OF M-PROJECTIVE RECURRENT RIEMANNIAN MANIFOLD
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Keywords: - Riemannian manifold, recurrent parameter, m-projective curvature tensor, Einstein manifold.
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Blair, D. E.: Contact manifolds in Riemannian geometry, Lecture Notes in Math.No. 509. Springer (1976).
. De, U. C. and Guha, N.:On generalized recurrent manifolds, Proc. Math. Soc. 7 (1991),7-11.
. Ojha,R.H.:m-projectvely flat Saskian manifold,Indian J.Pure Appl.Math. 4(1985),481-484.
. Patterson,E.M.:Some theorems on Ricci -recurrent spaces,J. London math. soc. 27(1952),292-295.
. Pokhariyal,G.P. and Mishra,R.S.:Curvature tensor and their relativistic significance II,Yokohama math. Journal 19 (1971),97-103.
. Singh,H. and Khan ,Q.: On symmetric Riemannian manifolds, Novi Sad J. math. ,29(3)(1999),300-308.
. Singh,J.P.: On an Einstein M-projectve P-Sasakian amnifolds,Bull. Cal. Math. Soc. 101(2)(2009),175-180.
. J.-B. Jun, I. B. Kim, and U. K. Kim, “On 3-dimensional almost contact metric manifolds,” Kyungpook Mathematical Journal,vol. 34, no. 2, pp. 293–301, 1994.
. C. Baikoussis, D. E. Blair, and T. Koufogiorgos, “A decomposition of the curvature tensor of a contact manifold,”Mathematics Technical Report, University of Ioanniana, 1992.
. B. J. Papantoniou, “Contact Riemannian manifolds)-nullity distribution,” Yokohama Mathematical Journal, vol. 40, no. 2, pp. 149–161, 1993.
. D. E. Blair, T. Koufogiorgos, and B. J. Papantoniou, “Contact metric manifolds satisfying a nullity condition,” Israel Journal of Mathematics, vol. 91, no. 1–3, pp. 189–214, 1995.
. E. Boeckx, “A full classification of contact metric -spaces,” Illinois Journal of Mathematics, vol. 44, no. 1, pp. 212–219, 2000.
. S. Tanno, “Ricci curvatures of contact Riemannian manifolds,” The Tohoku Mathematical Journal, vol. 40, no. 3, pp. 441–448,1988.
. D. E. Blair, J.-S. Kim, and M. M. Tripathi, “On the concircular curvature tensor of a contact metric manifold,” Journal of the Korean Mathematical Society, vol. 42, no. 5, pp. 883–892, 2005.
. D. E. Blair, T. Koufogiorgos, and R. Sharma, “A classification of 3-dimensional contact metric manifolds,” Kodai Mathematical Journal, vol. 13, no. 3, pp. 391–401, 1990.
. D. E. Blair and H. Chen, “A classification of 3-dimensional contact metric manifolds,” Bulletin of the Institute of Mathematics, vol. 20, no. 4, pp. 379–383, 1992.
. U. C. De and A. Sarkar, “On a type of P-Sasakian manifolds,” Mathematical Reports, vol. 11(61), no. 2, pp. 139–144, 2009.
. G. Zhen, J. L. Cabrerizo, L. M. Fern´andez, and M. Fern´andez, “On N(k)-conformally flat contact metric manifolds,” Indian Journal of Pure and Applied Mathematics, vol. 28, no. 6, pp. 725– 734,1997
DOI: http://dx.doi.org/10.26472/ijrae.v1i7.38
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