Wang, Wenjie Almost Kenmotsu 3-\(h\)-manifolds with cyclic-parallel Ricci tensor. (English) Zbl 1345.53034 J. Nonlinear Sci. Appl. 9, No. 6, 4206-4213 (2016). Summary: In this paper, we prove that the Ricci tensor of an almost Kenmotsu 3-\(h\)-manifold is cyclic-parallel if and only if it is parallel and hence, the manifold is locally isometric to either the hyperbolic space \(\mathbb H^3(-1)\) or the Riemannian product \(\mathbb H^2(-4)\times \mathbb R\). Cited in 32 Documents MSC: 53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.) 53D15 Almost contact and almost symplectic manifolds 53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.) Keywords:almost Kenmotsu 3-manifold; almost contact metric manifold; Einstein-like metric; cyclic-parallel Ricci tensor PDFBibTeX XMLCite \textit{W. Wang}, J. Nonlinear Sci. Appl. 9, No. 6, 4206--4213 (2016; Zbl 1345.53034) Full Text: DOI Link