Author

# Yaning Wang

Bio: Yaning Wang is an academic researcher. The author has contributed to research in topic(s): Ricci curvature & Ricci-flat manifold. The author has an hindex of 1, co-authored 1 publication(s) receiving 8 citation(s).

Topics: Ricci curvature, Ricci-flat manifold

##### Papers

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TL;DR: In this article, the Ricci tensor of a threedimensional almost Kenmotsu manifold satisfying ∇ξh = 0, h 6= 0, is η-parallel if and only if the manifold is locally isometric to either the Riemannian product H(−4) × R or a non-unimodular Lie group equipped with a left invariant non-Kenmotsusu almost Kenmotu structure.

Abstract: In this paper, we prove that the Ricci tensor of a threedimensional almost Kenmotsu manifold satisfying ∇ξh = 0, h 6= 0, is η-parallel if and only if the manifold is locally isometric to either the Riemannian product H(−4) × R or a non-unimodular Lie group equipped with a left invariant non-Kenmotsu almost Kenmotsu structure.

8 citations

##### Cited by

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TL;DR: 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 H3(−1) or the Riemannian product H2(−4)× R as mentioned in this paper.

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 H3(−1) or the Riemannian product H2(−4)× R. c ©2016 All rights reserved.

4 citations

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15 Feb 2010

4 citations

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TL;DR: In this article, the Ricci tensor of an almost Kenmotsu 3-manifold (M,ϕ,ξ,η,g) was shown to be cyclic-parallel.

Abstract: In this paper, we give a local characterization for the Ricci tensor of an almost Kenmotsu 3-manifold (M,ϕ,ξ,η,g) to be cyclic-parallel. As an application, we prove that if M has cyclic-parallel Ri...

2 citations

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TL;DR: In this paper, the authors characterized quasi-conformally flat and almost Kenmotsu manifolds with vanishing extended quasiconformal curvature tensor tensor and extended $\xi$-quasi-constantally flat almost kimchi-flat almost kemoto manifolds such that the characteristic vector field belongs to the $(k,\mu)$-nullity distribution.

Abstract: The object of the present paper is to characterize quasi-conformally flat and $\xi$-quasi-conformally flat almost Kenmotsu manifolds with $(k,\mu)$-nullity and $(k,\mu)'$-nullity distributions respectively. Also we characterize almost Kenmotsu manifolds with vanishing extended quasi-conformal curvature tensor and extended $\xi$-quasi-conformally flat almost Kenmotsu manifolds such that the characteristic vector field $\xi$ belongs to the $(k,\mu)$-nullity distribution.

2 citations

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TL;DR: In this article, the Ricci operator of an almost Kenmotsu 3-h-manifold M is of transversely Killing-type if and only if M is locally isometric to the hyperbolic 3-space ℍ 3 ( − 1 ) {{mathbb{H}}}^{3}(-1) or a non-unimodular Lie group endowed with a left invariant non-Kenmotsusu almost kmotu structure.

Abstract: Abstract In this paper, it is proved that the Ricci operator of an almost Kenmotsu 3-h-manifold M is of transversely Killing-type if and only if M is locally isometric to the hyperbolic 3-space ℍ 3 ( − 1 ) {{\\mathbb{H}}}^{3}(-1) or a non-unimodular Lie group endowed with a left invariant non-Kenmotsu almost Kenmotsu structure. This result extends those results obtained by Cho [Local symmetry on almost Kenmotsu three-manifolds, Hokkaido Math. J. 45 (2016), no. 3, 435–442] and Wang [Three-dimensional locally symmetric almost Kenmotsu manifolds, Ann. Polon. Math. 116 (2016), no. 1, 79–86; Three-dimensional almost Kenmotsu manifolds with η \\eta -parallel Ricci tensor, J. Korean Math. Soc. 54 (2017), no. 3, 793–805].