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The Existence of Gradient Yamabe Solitons on Spacetimes

Results in Mathematics, 2022
The authors investigate the existence of the non-trivial gradient Yamabe soliton on generalized Robertson-Walker spacetimes, standard static spacetimes, Walker manifolds and pp-wave spacetimes. The most remarkable results concern gradient Yamabe solitons on pp-wave spacetimes (see Section 3.5).
Güler, Sinem   +2 more
openaire   +3 more sources

Yamabe solitons and gradient Yamabe solitons on three-dimensional N(k)-contact manifolds

International Journal of Geometric Methods in Modern Physics, 2020
If a three-dimensional [Formula: see text]-contact metric manifold [Formula: see text] admits a Yamabe soliton of type [Formula: see text], then the manifold has a constant scalar curvature and the flow vector field [Formula: see text] is Killing. Furthermore, either [Formula: see text] has a constant curvature [Formula: see text] or the flow vector ...
Young Jin Suh, Uday Chand De
openaire   +2 more sources

Classification of gradient Yamabe soliton hypersurfaces of space forms

Manuscripta mathematica, 2023
In this paper we investigate gradient Yamabe solitons, either shrinking or steady, that can be isometrically immersed into space forms as hypersurfaces that admit an upper bound on the norm of their second fundamental form.
W. Tokura, M. Barboza
semanticscholar   +1 more source

Yamabe and quasi-Yamabe solitons in paracontact metric manifolds

International Journal of Geometric Methods in Modern Physics, 2021
The aim of this paper is to characterize paracontact metric manifolds admitting Yamabe and quasi-Yamabe solitons. Several results of such solitons are proved. In particular, we classify Yamabe and quasi-Yamabe solitons on [Formula: see text]-paracontact metric manifolds.
De, Uday Chand, Suh, Young Jin
openaire   +2 more sources

Geometry of $\upeta$-ricci Yamabe soliton on nearly Sasakian manifold

Boletim da Sociedade Paranaense de Matemática
The present paper is devoted to study $\upeta$-Ricci-Yamabe soliton on nearly-Sasakian manifolds. We examine Ricci-semisymmetricity and Einstein- semisymmetric on nearly-sasakian manifold to obtain condition for shrinking or steady or expanding. Further,
Khaled A. A. Alloush   +5 more
semanticscholar   +1 more source

Characterization of three-dimensional Riemannian manifolds with a type of semi-symmetric metric connection admitting Yamabe soliton

, 2020
We characterize the three-dimensional Riemannian manifolds equipped with a semi-symmetric metric ρ -connection under the assumption that the Riemannian metric is a Yamabe soliton.
S. Chaubey, U. De
semanticscholar   +1 more source

Yamabe and Quasi-Yamabe Solitons on Hypersurfaces in the Complex Hyperbolic Space

Mediterranean Journal of Mathematics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Ricci Yamabe soliton on f-Kenmotsu manifolds with generalized symmetric metric connection

Boletim da Sociedade Paranaense de Matemática
This research investigates Ricci Yamabe soliton on f-Kenmotsu manifolds whose potential vector field is torse-forming admits a generalized symmetric metric connection.
Md. Samiul Haque   +4 more
semanticscholar   +1 more source

Geometry of almost *-η-Ricci-Yamabe soliton on Kenmotsu manifolds

Filomat
The goal of the present object is to study almost *-?-Ricci-Yamabe soliton within the framework of Kenmotsu manifolds. It is shown that if a Kenmotsu manifold admits a *-?-Ricci-Yamabe soliton, then it is ?-Einstein.
Somnath Mondal   +4 more
semanticscholar   +1 more source

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