Author
Yaning Wang
Bio: Yaning Wang is an academic researcher. The author has contributed to research in topics: Ricci curvature & Ricci-flat manifold. The author has an hindex of 1, co-authored 1 publications receiving 8 citations.
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.
9 citations
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TL;DR: In this paper, it was shown that if a Kenmotsu metric satisfies Lg(λ) = 0 on a (2n+ 1)-dimensional manifold M 2n+1, then either ξλ = −λ or M 2 n+1 is Einstein.
Abstract: The present paper deals with the study of Fischer-Marsden conjecture on a Kenmotsu manifold. It is proved that if a Kenmotsu metric satisfies Lg(λ) = 0 on a (2n+ 1)-dimensional Kenmotsu manifold M2n+1, then either ξλ = −λ or M2n+1 is Einstein. If n = 1, M3 is locally isometric to the hyperbolic space H3(−1).
6 citations
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.
5 citations
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...
3 citations
07 Sep 2018
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