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The Existence of Gradient Yamabe Solitons on Spacetimes
Results in Mathematics, 2022The 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
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Yamabe solitons and gradient Yamabe solitons on three-dimensional N(k)-contact manifolds
International Journal of Geometric Methods in Modern Physics, 2020If 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
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Classification of gradient Yamabe soliton hypersurfaces of space forms
Manuscripta mathematica, 2023In 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
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Yamabe and quasi-Yamabe solitons in paracontact metric manifolds
International Journal of Geometric Methods in Modern Physics, 2021The 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
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Pseudo-Ricci–Yamabe Soliton Real Hypersurfaces in the Complex Two-Plane Grassmannians
Mediterranean Journal of MathematicsYoung Jin Suh
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Geometry of $\upeta$-ricci Yamabe soliton on nearly Sasakian manifold
Boletim da Sociedade Paranaense de MatemáticaThe 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
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, 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
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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
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Yamabe and Quasi-Yamabe Solitons on Hypersurfaces in the Complex Hyperbolic Space
Mediterranean Journal of Mathematics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Ricci Yamabe soliton on f-Kenmotsu manifolds with generalized symmetric metric connection
Boletim da Sociedade Paranaense de MatemáticaThis 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
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Geometry of almost *-η-Ricci-Yamabe soliton on Kenmotsu manifolds
FilomatThe 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
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