Abstract
In a recent paper author and Mishra [1] have studied the recurrent properties of conformal curvature tensor, conharmonic curvature tensor, concircular curvature tensor and projective curvature tensor in a Riemannian manifold. In another paper author and Mishra [2] have defined a new curvature tensor and obtained its relativistic significance. In this paper the geometrical properties of the new tensor in a Riemannian manifold have been discussed.
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References
Mishra, R. S. and Pokhariyal, G. P. “Curvature tensors in Riemannian manifold,”Indian Jour. of Pure and Appl. Maths., 1971,2 (3).
Pokhariyal, G. P. and Mishra, R. S. “Curvature tensors and their relativistic significance,”Yokohama Math. Jour., 1970,18 (2).
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Pokhariyal, G.P. Curvature tensors in riemannian manifold—II. Proc. Indian Acad. Sci. 79, 105–110 (1974). https://doi.org/10.1007/BF03046662
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DOI: https://doi.org/10.1007/BF03046662