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.
Kishor et al. (Wed,) studied this question.