@article{article_1407888, title={On Ricci Recurrent Almost Kenmotsu $3$-manifolds}, journal={International Electronic Journal of Geometry}, volume={17}, pages={538–550}, year={2024}, DOI={10.36890/iejg.1407888}, author={Lee, Ji-eun}, keywords={Almost Kenmotsu manifold, local symmetry, Ricci recurrent}, abstract={In this paper, we prove first that for an almost Kenmotsu $3$-manifold satisfying $\xi (tr \, h^2)=0$, its Ricci operator is recurrent if and only if the manifold is locally symmetric. Next, we show that $\varphi$-Ricci symmetry and $\varphi$-Ricci recurrence are equivalent conditions in almost Kenmotsu $3$-manifolds. Thus, an almost Kenmotsu $3$-manifold is $\varphi$-Ricci symmetric if and only if it has dominantly $\eta$-parallel Ricci operator.}, number={2}, publisher={Kazım İlarslan}