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In this paper, we have studied special weakly Ricci symmetric Kenmotsu manifolds. We show that if a special weakly Riccisymmetric Kenmotsu manifold admits a cyclic parallel Ricci tensor then the associate 1–form must be zero. On the other hand we show that a special weakly Ricci-symmetric Kenmotsu manifold can not be an Einstein manifold if the associate 1–form 0 and Ricci tensor of a special weakly Ricci-symmetric Kenmotsu manifold is parallel. 2000 Mathematics Subject Classification. 53C21, 53C25
Aktan et al. (Wed,) studied this question.