Results 11 to 20 of about 170 (138)

∗-η-Ricci Soliton and Gradient Almost ∗-η-Ricci Soliton Within the Framework of Para-Kenmotsu Manifolds [PDF]

open access: yesFrontiers in Physics, 2022
The goal of the present study is to study the ∗-η-Ricci soliton and gradient almost ∗-η-Ricci soliton within the framework of para-Kenmotsu manifolds as a characterization of Einstein metrics.
Santu Dey, Nasser Bin Turki
doaj   +2 more sources

LP-Kenmotsu Manifolds Admitting η-Ricci Solitons and Spacetime

open access: yesJournal of Mathematics, 2022
In the present paper, LP-Kenmotsu manifolds admitting η-Ricci solitons have been studied. Moreover, some results for η-Ricci solitons in LP-Kenmotsu manifolds in the spacetime of general relativity have also been proved.
Yanlin Li, Abdul Haseeb, Musavvir Ali
doaj   +2 more sources

ON KENMOTSU MANIFOLDS

open access: yesJournal of the Korean Mathematical Society, 2005
Let \((M^n,\phi,\xi,\eta,g)\) be an \(n=2m+1\)-dimensional almost contact Riemannian manifold. If \((\nabla_X\phi)Y=-g(X,\phi Y)\xi-\eta(Y)\phi X\) and \(\nabla_X\xi=X-\eta(X)\xi\) then \((M^n,\phi,\xi,\eta,g)\) is called a Kenmotsu manifold. In the reviewed paper, the authors show that curvature conditions such as Ricci semisymmetry or Ricci ...
Uday Chand De
exaly   +4 more sources

Harmonic Maps and Stability on f-Kenmotsu Manifolds [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2008
The purpose of this paper is to study some submanifolds and Riemannian submersions on an f-Kenmotsu manifold. The stability of a ϕ-holomorphic map from a compact f-Kenmotsu manifold to a Kählerian manifold is proven.
Vittorio Mangione
doaj   +5 more sources

Ricci Solitons in β-Kenmotsu Manifolds [PDF]

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science, 2018
The object of the present paper is to study Ricci soliton in β-Kenmotsu manifolds. Here it is proved that a symmetric parallel second order covariant tensor in a β-Kenmotsu manifold is a constant multiple of the metric tensor.
Kumar Rajesh
doaj   +3 more sources

On the Existence of Proper Nearly Kenmotsu Manifolds [PDF]

open access: yesMediterranean Journal of Mathematics, 2016
This is an expository paper, which provides a first approach to nearly Kenmotsu manifolds. The purpose of this paper is to focus on nearly Kenmotsu manifolds and get some new results from it. We prove that for a nearly Kenmotsu manifold is locally isometric to warped product of real line and nearly Kähler manifold. Finally, we prove that there exist no
Piotr Dacko, Cengizhan Murathan
exaly   +4 more sources

η-Ricci Solitons on Kenmotsu 3-Manifolds [PDF]

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science, 2018
In the present paper we study η-Ricci solitons on Kenmotsu 3-manifolds. Moreover, we consider η-Ricci solitons on Kenmotsu 3-manifolds with Codazzi type of Ricci tensor and cyclic parallel Ricci tensor.
De Krishnendu, De Uday Chand
doaj   +3 more sources

η-Ricci solitons in Kenmotsu manifolds

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science, 2019
The object of the present paper is to study generalized weakly symmetric and generalized weakly Ricci symmetric Kenmotsu manifolds whose metric tensor is η-Ricci soliton. The paper also aims to bring out curvature conditions for which η-Ricci solitons in
Baishya Kanak Kanti   +1 more
doaj   +3 more sources

Lorentzian Para-Kenmotsu Manifolds Within the Framework of ∗-Conformal η-Ricci Soliton

open access: yesJournal of Applied Mathematics
The present article intends to study the ∗-conformal η-Ricci soliton on n-LPK (n-dimensional Lorentzian para-Kenmotsu) manifolds with curvature constraints.
Shyam Kishor   +3 more
doaj   +2 more sources

Some curvature properties of para-Kenmotsu Manifold with respect to Zamkovoy connection [PDF]

open access: yesJournal of Hyperstructures, 2023
In the present paper we study some properties of the para-Kenmotsu manifold with respect to Zamkovoy connection. We discuss locally Φ-symmetric para-Kenmotsu manifold with respect to the Zamkovoy connection.
Abhijit Mandal   +3 more
doaj   +1 more source

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