Author

# Yaning Wang

Bio: Yaning Wang is an academic researcher from Henan Normal University. The author has contributed to research in topic(s): Reeb vector field & Ricci curvature. The author has an hindex of 2, co-authored 2 publication(s) receiving 17 citation(s).

##### Papers

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TL;DR: In this paper, the Ricci curvature of the Reeb vector field is invariant to the Riemannian curvature tensor in a 3D almost co-Kahler manifold.

Abstract: Let M3 be a three-dimensional almost coKahler manifold such that the Ricci curvature of the Reeb vector field is invariant along the Reeb vector field. In this paper, we obtain some classification results of M3 for which the Ricci tensor is η-parallel or the Riemannian curvature tensor is harmonic.

9 citations

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TL;DR: In this article, it was shown that the Ricci soliton of a 3-dimensional Kenmotsu manifold is locally isometric to the hyperbolic 3-space and the potential vector field coincides with the Reeb vector field.

Abstract: Let $(M,\phi,\xi,\eta,g)$ be a three-dimensional Kenmotsu manifold. In this paper, we prove that the triple $(g,V,\lambda)$ on $M$ is a $*$-Ricci soliton if and only if $M$ is locally isometric to the hyperbolic 3-space $\mathbf{H}^3(-1)$ and $\lambda=0$. Moreover, if $g$ is a gradient $*$-Ricci soliton, then the potential vector field coincides with the Reeb vector field. We also show that the metric of a coKahler 3-manifold is a $*$-Ricci soliton if and only if it is a Ricci soliton.

8 citations

##### Cited by

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TL;DR: In this article, it was shown that if the metric g of M is a *-Ricci soliton, then either M is locally isometric to the product ℍn+1(−4)×ℝn or the potential vector field is strict infinitesimal contact transformation.

Abstract: Abstract Let (M, g) be a non-Kenmotsu (κ, μ)′-almost Kenmotsu manifold of dimension 2n + 1. In this paper, we prove that if the metric g of M is a *-Ricci soliton, then either M is locally isometric to the product ℍn+1(−4)×ℝn or the potential vector field is strict infinitesimal contact transformation. Moreover, two concrete examples of (κ, μ)′-almost Kenmotsu 3-manifolds admitting a Killing vector field and strict infinitesimal contact transformation are given.

12 citations

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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

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TL;DR: In this paper, it was shown that the metric of a (κ,μ)-almost co-Kahler manifold M2n+1 is a gradieness of a quasi-Yamabe solitons.

Abstract: We characterize almost co-Kahler manifolds with gradient Yamabe, gradient Einstein and quasi-Yamabe solitons. It is proved that if the metric of a (κ,μ)-almost co-Kahler manifold M2n+1 is a gradien...

8 citations

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TL;DR: In this paper, the authors prove a non-existence result for Ricci solitons on non-cosymplectic manifolds, and prove the same result for almost cosympelous manifolds.

Abstract: In this short note, we prove a non-existence result for $$*$$
-Ricci solitons on non-cosymplectic $$(\kappa ,\mu )$$
-almost cosymplectic manifolds.

3 citations