A note on almost quasi Yamabe solitons and gradient almost quasi Yamabe solitons
In this article, we characterize almost quasi-Yamabe solitons and gradient almost quasi-Yamabe solitons in context of three dimensional Kenmotsu manifolds. It is proven that if the metric of a three dimensional Kenmotsu manifold admits an almost quasi-Yamabe soliton with soliton vector field $W$ then the manifold is of constant sectional curvature $-1$,
Sujit Ghosh +2 more
wiley +9 more sources
Study on Twisted Product Almost Gradient Yamabe Solitons [PDF]
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 +2 more
wiley +4 more sources
Imperfect Fluid Generalized Robertson Walker Spacetime Admitting Ricci-Yamabe Metric
In the present paper, we investigate the nature of Ricci-Yamabe soliton on an imperfect fluid generalized Robertson-Walker spacetime with a torse-forming vector field ξ.
Ali H. Alkhaldi +3 more
doaj +2 more sources
On warped product gradient Yamabe solitons [PDF]
14 pages, 1 ...
Willian Isáo Tokura +3 more
openalex +5 more sources
Some characterizations of gradient Yamabe solitons [PDF]
In this article we have proved that a gradient Yamabe soliton satisfying some additional conditions must be of constant scalar curvature. Later, we have showed that in a gradient expanding or steady Yamabe soliton with non-negative Ricci curvature if the potential function satisfies some integral condition then it is subharmonic, in particular, for ...
Absos Ali Shaikh +2 more
openalex +5 more sources
Characterization of Almost Yamabe Solitons and Gradient Almost Yamabe Solitons with Conformal Vector Fields [PDF]
In this paper, some sufficient conditions of almost Yamabe solitons are established, such that the solitons are Yamabe metrics, by which we mean metrics of constant scalar curvature. This is achieved by imposing fewer topological constraints. The properties of the conformal vector fields are exploited for the purpose of establishing various necessary ...
Ali H. Alkhaldi +3 more
openalex +3 more sources
Geometry of $*$-$k$-Ricci-Yamabe soliton and gradient\n $*$-$k$-Ricci-Yamabe soliton on Kenmotsu manifolds [PDF]
arXiv admin note: text overlap with arXiv:2105.11142, arXiv:2105.13885, arXiv:2109 ...
Santu Dey, Soumendu Roy
+5 more sources
On the existence and classification of $k$-Yamabe gradient solitons [PDF]
In this paper we classify rotationally symmetric conformally flat admissible solitons to the $k$-Yamabe flow, a fully non-linear version of the Yamabe flow. For $n\geq 2k$ we prove existence of complete expanding, steady and shrinking solitons and describe their asymptotic behavior at infinity.
Maria Fernanda Espinal, Mariel Sáez
openalex +3 more sources
A New Class of Almost Ricci Solitons and Their Physical Interpretation. [PDF]
We establish a link between a connection symmetry, called conformal collineation, and almost Ricci soliton (in particular Ricci soliton) in reducible Ricci symmetric semi‐Riemannian manifolds. As a physical application, by investigating the kinematic and dynamic properties of almost Ricci soliton manifolds, we present a physical model of imperfect ...
Duggal KL.
europepmc +2 more sources
A note on compact gradient Yamabe solitons [PDF]
We will give a simple proof that the metric of any compact Yamabe gradient soliton (M,g) is a metric of constant scalar curvature when the dimension of the manifold n>2.
Shu-Yu Hsu
openalex +3 more sources

