Almost Kenmotsu 3−h -manifolds with cyclic-parallel Ricci tensor
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TLDR
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.read more
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Cyclic-parallel Ricci tensors on a class of almost Kenmotsu 3-manifolds
Yaning Wang,Xinxin Dai +1 more
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.
Journal ArticleDOI
Almost Kenmotsu 3-h-metric as a cotton soliton
Dibakar Dey,Pradip Majhi +1 more
TL;DR: In this paper , the authors considered the notion of Cotton soliton on almost Kenmotsu 3-manifolds and proved a non-existence of such a soliton.
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Cotton Solitons on Almost Kenmotsu 3-$h$-Manifolds
Dibakar Dey,Pradip Majhi +1 more
TL;DR: In this article, the authors considered the notion of Cotton soliton within the framework of almost Kenmotsu 3-$h$-manifolds and proved a non-existence of such a soliton.
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Almost Kenmotsu 3-manifolds satisfying some generalized nullity conditions
Wenjie Wang,Ximin Liu +1 more
TL;DR: In this paper, a three-dimensional almost Kenmotsu manifold M3 satisfying the generalized (κ, μ)′-nullity condition is investigated, and the Ricci tensor of M3 is of Codazzi type.
References
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Book
Riemannian Geometry of Contact and Symplectic Manifolds
TL;DR: In this article, the authors describe a complex geometry model of Symplectic Manifolds with principal S1-bundles and Tangent Sphere Bundles, as well as a negative Xi-sectional Curvature.
Journal ArticleDOI
Curvatures of left invariant metrics on lie groups
TL;DR: In this paper, the author outlines what is known to the author about the Riemannian geometry of a Lie group which has been provided with a metric invariant under left translation.
Journal ArticleDOI
A class of almost contact riemannian manifolds
TL;DR: In this article, Tanno has classified connected almost contact Riemannian manifolds whose automorphism groups have themaximum dimension into three classes: (1) homogeneous normal contact manifolds with constant 0-holomorphic sec-tional curvature if the sectional curvature for 2-planes which contain
Journal ArticleDOI
Almost contact structures and curvature tensors
Dirk Janssens,Lieven Vanhecke +1 more