Abstract

The notion of a weakly symmetric and weakly projective symmetric Riemannian manifolds have been introduced and studied by L. Tamassy and T. Q. Binh ([7], [8]). Recently, Singh and Khan [5] introduced the notion of special weakly symmetric Riemannian manifolds and denoted such manifold by (SWS)n: In this paper, I have studied the nature of Ricci tensor R of type (1; 1) in a special weakly projective symmetric Riemannian manifold (SWPS)n and have investigated some interesting result on (SWPS)n.

Keywords and Phrases

Projective curvature tensor, Ricci tensor, Einstein manifold, Special weakly projective symmetric Riemannian manifold.

A.M.S. subject classification

53C21, 53C25.

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