Results 41 to 50 of about 205 (141)

Study on Twisted Product Almost Gradient Yamabe Solitons

open access: yesJournal of Mathematics, Volume 2021, Issue 1, 2021., 2021
In this paper, we first study gradient Yamabe solitons on the twisted product spaces. Then, we classify and characterize the warped product and twisted product spaces with almost gradient Yamabe solitons. We also study the construction of almost gradient Yamabe solitons in the Riemannian product spaces.
Byung Hak Kim   +3 more
wiley   +1 more source

Yamabe Solitons on Some Conformal Almost Contact B-Metric Manifolds

open access: yesMathematics, 2022
A Yamabe soliton is defined on an arbitrary almost-contact B-metric manifold, which is obtained by a contact conformal transformation of the Reeb vector field, its dual contact 1-form, the B-metric, and its associated B-metric.
Mancho Manev
doaj   +1 more source

Gradient Ricci-Yamabe solitons on warped product manifolds [PDF]

open access: yes, 2023
We give the necessary and sufficient conditions for a gradient Ricci-Yamabe soliton with warped product metric. As physical applications, we consider gradient Ricci-Yamabe solitons on generalized Robertson-Walker space-times and standard static space ...
Karaca, Fatma
core   +1 more source

Almost Ricci-Yamabe Soliton on Contact Metric Manifolds [PDF]

open access: yes, 2022
We consider almost Ricci-Yamabe soliton in the context of certain contact metric manifolds. Firstly, we prove that if the metric $g$ admits an almost $(\alpha,\beta)$-Ricci-Yamabe soliton with $\alpha\neq 0$ and potential vector field collinear with the ...
Khatri, Mohan, Singh, Jay Prakash
core   +1 more source

Perfect fluid spacetimes and $k$-almost Yamabe solitons [PDF]

open access: yes, 2023
In this article, we presumed that a perfect fluid is the source of the gravitational field while analyzing the solutions to the Einstein field equations.
De, Krishnendu   +5 more
core   +1 more source

Remarks on the Warped Product Structure from the Hessian of a Function

open access: yesMathematics, 2018
The warped product structure of a gradient Yamabe soliton and a Ricci soliton with a concircular potential field is proved in another way.
Jong Ryul Kim
doaj   +1 more source

Yamabe Solitons on Conformal Almost-Contact Complex Riemannian Manifolds with Vertical Torse-Forming Vector Field

open access: yesAxioms, 2023
A Yamabe soliton is considered on an almost-contact complex Riemannian manifold (also known as an almost-contact B-metric manifold), which is obtained by a contact conformal transformation of the Reeb vector field, its dual contact 1-form, the B-metric ...
Mancho Manev
doaj   +1 more source

Yamabe solitons in contact geometry

open access: yesNew Zealand Journal of Mathematics, 2023
It is shown that the scalar curvature of a Yamabe soliton as a Sasakian manifold is constant and the soliton vector field is Killing. The same conclusion is shown to hold for a Yamabe soliton as a $K$-contact manifold $M^{2n+1}$ if any one of the following conditions hold: (i) its scalar curvature is constant along the soliton vector field $V$, (ii) $V$
Poddar, Rahul   +2 more
openaire   +1 more source

Type II Singularities on complete non-compact Yamabe flow [PDF]

open access: yes, 2021
This work concerns with the existence and detailed asymptotic analysis of Type II singularities for solutions to complete non-compact confor-mally flat Yamabe flow with cylindrical behavior at infinity. We provide the specific blow-up rate of the maximum
King, John   +2 more
core   +2 more sources

Solitonic View of Generic Contact CR-Submanifolds of Sasakian Manifolds with Concurrent Vector Fields

open access: yesMathematics, 2023
This paper mainly devotes to the study of some solitons such as Ricci and Yamabe solitons and also their combination called Ricci-Yamabe solitons.
Vandana   +3 more
doaj   +1 more source

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