Almost Kenmotsu \(3-h\)-manifolds with cyclic-parallel Ricci tensor
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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 \(\mathbb{H}^2(-4) \times \mathbb{R}\).
Share and Cite
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
Keywords
- Almost Kenmotsu 3-manifold
- almost contact metric manifold
- Einstein-like metric
- cyclic-parallel Ricci tensor.
MSC
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