Results 11 to 20 of about 103 (83)

Imperfect Fluid Generalized Robertson Walker Spacetime Admitting Ricci-Yamabe Metric

Advances in Mathematical Physics, 2021
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, Mohd Danish Siddiqi, Meraj Ali Khan, Lamia Saeed Alqahtani   +3 more
doaj   +2 more sources

Gradient Ricci–Yamabe Soliton on Twisted Product Manifolds

Journal of Mathematics, 2022
In this paper, we study the twisted product manifolds with gradient Ricci–Yamabe solitons. Then, we classify and characterize the warped product and twisted product spaces with gradient Ricci–Yamabe solitons.
Byung Hak Kim, Jin Hyuk Choi, Sang Deok Lee, Chang Yong Han   +3 more
doaj   +2 more sources

Study on Twisted Product Almost Gradient Yamabe Solitons [PDF]

Journal of Mathematics, 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, Jin Hyuk Choi, Sang Deok Lee   +2 more
openaire   +3 more sources

A New Class of Almost Ricci Solitons and Their Physical Interpretation. [PDF]

Int Sch Res Notices, 2016
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

Some characterizations of gradient Yamabe solitons [PDF]

Journal of Geometry and Physics, 2021
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, Antonio W. Cunha, Prosenjit Mandal   +2 more
openaire   +3 more sources

Kenmotsu 3-manifolds and gradient solitons

Karpatsʹkì Matematičnì Publìkacìï, 2023
The aim of this article is to characterize a Kenmotsu 3-manifold whose metric is either a gradient Yamabe soliton or gradient Einstein soliton. It is proven that in both cases this manifold is reduced to the manifold of constant sectional curvature ...
F. Mofarreh, U.C. De
doaj   +1 more source

η-Ricci–Yamabe Solitons along Riemannian Submersions

Axioms, 2023
In this paper, we investigate the geometrical axioms of Riemannian submersions in the context of the η-Ricci–Yamabe soliton (η-RY soliton) with a potential field.
Mohd Danish Siddiqi, Fatemah Mofarreh, Mehmet Akif Akyol, Ali H. Hakami   +3 more
doaj   +1 more source

Solitonic Aspect of Relativistic Magneto-Fluid Spacetime with Some Specific Vector Fields

Mathematics, 2023
The target of the current research article is to investigate the solitonic attributes of relativistic magneto-fluid spacetime (MFST) if its metrics are Ricci–Yamabe soliton (RY-soliton) and gradient Ricci–Yamabe soliton (GRY-soliton).
Mohd Danish Siddiqi, Fatemah Mofarreh, Sudhakar Kumar Chaubey   +2 more
doaj   +1 more source

On the structure of gradient Yamabe solitons [PDF]

Mathematical Research Letters, 2012
We show that every complete nontrivial gradient Yamabe soliton admits a special global warped product structure with a one-dimensional base. Based on this, we prove a general classification theorem for complete nontrivial locally conformally flat gradient Yamabe solitons.
Cao, Huai-Dong, Sun, Xiaofeng, Zhang, Yingying   +2 more
openaire   +2 more sources

On harmonic and biharmonic maps from gradient Ricci solitons

Mathematische Nachrichten, Volume 296, Issue 11, Page 5109-5122, November 2023., 2023
Abstract We study harmonic and biharmonic maps from gradient Ricci solitons. We derive a number of analytic and geometric conditions under which harmonic maps are constant and which force biharmonic maps to be harmonic. In particular, we show that biharmonic maps of finite energy from the two‐dimensional cigar soliton must be harmonic.
Volker Branding
wiley   +1 more source