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Classification of almost Yamabe solitons in Euclidean spaces

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0 Published in 2019 at "Journal of Geometry and Physics"

DOI: 10.1016/j.geomphys.2018.10.016

Abstract: In this paper, we completely classify almost Yamabe solitons on hypersurfaces in Euclidean spaces arisen from the position vector field. Some results of almost Yamabe solitons with a concurrent vector field and almost Yamabe solitons… read more here.

Keywords: classification almost; vector field; yamabe solitons; solitons euclidean ... See more keywords

Perfect fluid spacetimes and Yamabe solitons

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0 Published in 2021 at "Journal of Mathematical Physics"

DOI: 10.1063/5.0033967

Abstract: This paper deals with the study of perfect fluid spacetimes. It is proven that a perfect fluid spacetime is Ricci recurrent if and only if the velocity vector field of perfect fluid spacetime is parallel… read more here.

Keywords: fluid; perfect fluid; yamabe solitons; vector field ... See more keywords

Conformal vector fields and Yamabe solitons

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1 Published in 2019 at "International Journal of Geometric Methods in Modern Physics"

DOI: 10.1142/s0219887819500531

Abstract: In this paper, we use less topological restrictions and more geometric and analytic conditions to obtain some sufficient conditions on Yamabe solitons such that their metrics are Yamabe metrics, that is, metrics of constant scalar… read more here.

Keywords: vector fields; yamabe solitons; conformal vector; fields yamabe ... See more keywords

A note on warped product almost quasi-Yamabe solitons

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1 Published in 2019 at "Filomat"

DOI: 10.2298/fil1907009b

Abstract: We consider almost quasi-Yamabe solitons in Riemannian manifolds, derive a Bochner-type formula in the gradient case and prove that under certain assumptions, the manifold is of constant scalar curvature. We also provide necessary and sufficient… read more here.

Keywords: note warped; warped product; quasi yamabe; almost quasi ... See more keywords

Almost quasi-Yamabe solitons and gradient almost quasi-Yamabe solitons in paracontact geometry

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0 Published in 2020 at "Quaestiones Mathematicae"

DOI: 10.2989/16073606.2020.1799882

Abstract: Abstract The purpose of the present paper is to investigate the almost quasi-Yamabe soliton and gradient almost quasi-Yamabe solitons under the framework of three-dimensional normal almost paracontact metric manifolds. read more here.

Keywords: geometry; gradient almost; yamabe solitons; almost quasi ... See more keywords

Geometry of Indefinite Kenmotsu Manifolds as *η-Ricci-Yamabe Solitons

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0 Published in 2022 at "Axioms"

DOI: 10.3390/axioms11090461

Abstract: In this paper, we study the properties of ϵ-Kenmotsu manifolds if its metrics are *η-Ricci-Yamabe solitons. It is proven that an ϵ-Kenmotsu manifold endowed with a *η-Ricci-Yamabe soliton is η-Einstein. The necessary conditions for an… read more here.

Keywords: geometry; kenmotsu manifold; kenmotsu manifolds; yamabe solitons ... See more keywords