Almost Kenmotsu \(3-h\)-manifolds with cyclic-parallel Ricci tensor


Authors

Wenjie Wang - Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control, School of Mathematics and Information Sciences, Henan Normal University, Xinxiang 453007, Henan, P. R. China.


Abstract

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 \(\mathbb{H}^2(-4) \times \mathbb{R}\).


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ISRP Style

Wenjie Wang, Almost Kenmotsu \(3-h\)-manifolds with cyclic-parallel Ricci tensor, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 6, 4206--4213

AMA Style

Wang Wenjie, Almost Kenmotsu \(3-h\)-manifolds with cyclic-parallel Ricci tensor. J. Nonlinear Sci. Appl. (2016); 9(6):4206--4213

Chicago/Turabian Style

Wang, Wenjie. "Almost Kenmotsu \(3-h\)-manifolds with cyclic-parallel Ricci tensor." Journal of Nonlinear Sciences and Applications, 9, no. 6 (2016): 4206--4213


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