Pseudo-symmetric structures on almost Kenmotsu manifolds with nullity distributions
Uday Chand De,Dibakar Dey +1 more
- Vol. 23, Iss: 1, pp 13-24
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In this paper, the authors characterized Ricci pseudosymmetric and Ricci semisymmetric almost Kenmotsu manifolds with (k, μ)-, (k; μ)′-, and generalized (k and μ)-nullity distributions.Abstract:
The object of the present paper is to characterize Ricci pseudosymmetric and Ricci semisymmetric almost Kenmotsu manifolds with (k; μ)-, (k; μ)′-, and generalized (k; μ)-nullity distributions. We also characterize (k; μ)-almost Kenmotsu manifolds satisfying the condition R ⋅ S = LꜱQ(g; S2).read more
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Almost Kenmotsu metric as quasi Yamabe soliton
Dibakar Dey,Pradip Majhi +1 more
TL;DR: In this article, it was shown that the Ricci-yamabe soliton is locally isometric to the Riemannian product and the potential vector field is pointwise collinear with the Reeb vector field.
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$\ast$-Conformal Ricci soliton on a class of almost Kenmotsu manifolds
Pradip Majhi,Dibakar Dey +1 more
TL;DR: In this paper, it was shown that if a $(2n + 1)$-dimensiinal $(k,\mu)'$-almost Kenmotsu manifold admits the Ricci soliton, then the manifold is locally isometric to a Ricci flat manifold.
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Almost Kenmotsu manifolds admitting certain vector fields
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TL;DR: In this article, the authors characterized almost Kenmotsu manifolds admitting holomorphically planar conformal vector (HPCV) fields and showed that the integral manifolds of D are totally umbilical submanifolds of an almost Kaehler manifold.
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On The Ricci Symmetry of Almost Kenmotsu Manifolds
TL;DR: In this article, Ricci symmetric almost Kenmotsu manifolds were characterized under several constraints and proved that they are Einstein manifolds, and several corollaries were obtained.
Almost Kenmotsu Manifolds Admitting Certain Critical Metric
TL;DR: In this paper , the authors introduced the notion of *-Miao-Tam critical equation on almost contact metric manifolds and studied on almost Kenmotsu manifolds with some nullity condition.
References
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Journal ArticleDOI
Almost Kenmotsu Manifolds and Nullity Distributions
Giulia Dileo,Anna Maria Pastore +1 more
TL;DR: In this paper, the authors characterize almost contact metric manifolds which are CR-integrable almost Kenmotsu, through the existence of a suitable linear connection, and give examples and completely describe the three dimensional case.
Generalized nullity distributions on almost kenmotsu manifolds
TL;DR: In this paper, the authors consider almost Kenmotsu manifolds whose characteristic vec- tor field belongs to two types of generalized nullity distributions and prove that, in dimensions greater or equal to 5, the functions involved in the defi- nition of such distributions can vary only in direction of and the Rieman-nian curvature is completely determined.
Journal ArticleDOI
Riemannian semisymmetric almost Kenmotsu manifolds and nullity distributions
Yaning Wang,Ximin Liu +1 more
Journal Article
On -recurrent almost Kenmotsu manifolds
Yaning Wang,Ximin Liu +1 more
TL;DR: In this article, the authors investigate -recurrent and -symmetric almost Kenmotsumanifolds with the characteristic vector fields belonging to some nullity distribution and show that the vector fields belong to the same distribution as the nullity distributions.
Journal ArticleDOI
On a type of almost Kenmotsu manifolds with nullity distributions
Uday Chand De,Krishanu Mandal +1 more
TL;DR: In this paper, the authors characterized Weyl semisymmetric almost Kenmotsu manifolds with characteristic vector field ξ belonging to the ( k, μ ) − nullity distribution and ( k, μ ) -nullity distribution respectively.