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Existence and Physical Properties of Gradient Ricci–Yamabe Solitons [PDF]

Gravitation & Cosmology
We first prove the existence of the gradient Ricci-Yamabe soliton (briefly GRYS) by constructing an explicit example endowed with the Robertson-Walker metric.
Sinem Güler, Fatma Karaca
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Certain results on \(N(k)\)-contact metric manifolds and torse-forming vector fields

2021
A contact metric manifold \(M\) is called \(N(k)\)-contact metric manifold if \(M\) is endowed with a \(k\)-nullity distribution. The author studies the properties of these manifolds endowed with a torse-forming vector field and admitting a Ricci soliton. Let us mention some of these results.
openaire   +2 more sources

On concircular and torse-forming vector fields on compact manifolds

2010
Summary: In this paper we modify the theorem by E. Hopf and found results and conditions, on which concircular, convergent and torse-forming vector fields exist on (pseudo-) Riemannian spaces. These results are applied for conformal, geodesic and holomorphically projective mappings of special compact spaces without boundary.
Mikes, Josef, Chodorová, Marie
openaire   +1 more source

Riemann solitons on imperfect fluid spacetimes

Communications in Theoretical Physics
This research paper seeks to investigate the characteristics of almost Riemann solitons and almost gradient Riemann solitons within the framework of generalized Robertson–Walker (GRW) spacetimes that incorporate imperfect fluids.
S. Azami, U. De
semanticscholar   +1 more source

On the geometry of holomorphic torse-forming vector fields on almost contact metric manifolds

Итоги науки и техники Серия «Современная математика и ее приложения Тематические обзоры», 2023
Aligadzhi Rabadanovich Rustanov, Ol'ga Evgen'evna Arsen'eva, Svetlana Vladimirovna Kharitonova   +2 more
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Certain Results on $N(k)-$Contact Metric Manifolds and Torse-Forming Vector Fields

, 2020
H. Yoldaş
semanticscholar   +1 more source

On some second order properties of torse forming vector fields

2001
Summary: If \(dp\) denotes the soldering form of a differentiable \(C^\infty\) manifold (i.e. the canonical vector valued 1-form) and \(\nabla\) the covariant differential operators, then a TF may be defined as \[ \nabla{\mathcal T}=sdp+\omega{\mathcal T},\quad s\in \Lambda^0M \] where \(\omega\in\Lambda^1M\) is the associated Pfaffian with \(\mathcal ...
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A link between torse-forming vector fields and rotational hypersurfaces

, 2017
Bang‐Yen Chen, L. Verstraelen
semanticscholar   +1 more source

Almostη-Ricci and almostη-Yamabe solitons with torse-forming potential vector field

Quaestiones Mathematicae, 2022
Adara M Blaga, Cihan Özgur
exaly  

Almost Ricci-like solitons with torse-forming vertical potential of constant length on almost contact B-metric manifolds

Journal of Geometry and Physics, 2021
Mancho Manev
exaly