ON SPECIAL WEAKLY CONHARMONIC SYMMETRIC MANIFOLDS

The notions of a weakly symmetric and weakly projective symmetric Riemannian manifolds have been introduced by Tamassy and Binh [20, 21] and then after studied by so many authors [5, 12, 13, 14, 15, 16, 17]. Recently, Singh and Khan [19] introduced the notion of Special weakly symmetric Riemannian manifolds and denoted such manifold by (SW S)n. Patra and Hui [11] generalized weakly conharmonic symmetric manifolds Kishor and Verma have investigated the properties of the Ricci tensor R of type (1,1) in special weakly M -projective symmetric manifolds [7]. In this paper, we have studied the nature of Ricci tensor R of type (1,1) in a special weakly conharmonic symmetric Riemannian manifold (SW HS)n and also explored some interesting results on (SW HS)n.