On Special Weakly Ricci-Symmetric Kenmotsu Manifolds

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 $\alpha$ must be zero. On the other hand we show that a special weakly Ricci-symmetric K...

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Bibliographic Details
Published in:Sarajevo journal of mathematics 2024-06, Vol.3 (1), p.93-97
Main Authors: Aktan, Nesip, Gorgülü, Ali, Özüsağlam, Erdal
Format: Article
Language:English
Online Access:Get full text
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Summary: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 $\alpha$ 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 $\alpha$ $\neq$ 0 and Ricci tensor of a special weakly Ricci-symmetric Kenmotsu manifold is parallel.   2000 Mathematics Subject Classification. 53C21, 53C25
ISSN:1840-0655
2233-1964
DOI:10.5644/SJM.03.1.09