Results 21 to 30 of about 129 (84)

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

open access: yesMathematics, 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   +2 more
doaj   +2 more sources

On torse-forming vector fields and biharmonic hypersurfaces in Riemannian manifolds [PDF]

open access: yes, 2023
In this paper, we give some properties of biharmonic hypersurface in Riemannian manifold has a torse-forming vector field.
Cherif, Ahmed Mohammed
openaire   +3 more sources

Pairs of Associated Yamabe Almost Solitons with Vertical Potential on Almost Contact Complex Riemannian Manifolds [PDF]

open access: yesMathematics, 2023
Almost contact complex Riemannian manifolds, also known as almost contact B-metric manifolds, are, in principle, equipped with a pair of mutually associated pseudo-Riemannian metrics. Each of these metrics is specialized as a Yamabe almost soliton with a
Mancho Manev
doaj   +3 more sources

ON SOME RIEMANNIAN MANIFOLDS ADMITTING TORSE-FORMING VECTOR FIELDS

open access: yesDemonstratio Mathematica, 1985
The following theorem is proved: If in a Riemannian manifold (M,g) with dim \(M\geq 4\) the covariant derivative \(R_{ij,k}\) of the Ricci tensor is symmetric in all indices, if \(R_{ij}[\ell m]=0\), and if there exists a vector field \(v_ i\) such that \(v_{i,j}=Fg_{ij}+A_ jv_ i\) with a certain scalar field F and a vector field \(A_ j\) (i.e.
exaly   +3 more sources

F(R,T)-Gravity with Anisotropic Fluid Admitting Hyperbolic Ricci Solitons with Torse-Forming Vector Field

open access: yesMathematics
This study is dedicated to a separable F(R,T)-gravity related to the anisotropic matter to extract the equation of state for F(R,T)-gravity. In this research, we offer insight into calculating the density and pressure in the phantom barrier, stiff fluid,
Mohd Danish Siddiqi, Fatemah Mofarreh
doaj   +2 more sources

*-Ricci-Yamabe soliton on Kenmotsu manifold with torse forming potential vector field

open access: yesFilomat
The goal of the present paper is to deliberate *-Ricci-Yamabe soliton, whose potential vector field is torse-forming on the Kenmotsu manifold. Here, we have shown the nature of the soliton and found the scalar curvature when the manifold admitting *-Ricci-Yamabe soliton on the Kenmotsu manifold.
Santu Dey, Ali H Alkhaldi, Akram Ali
exaly   +2 more sources

RIEMANNIAN SUBMERSIONS WHOSE TOTAL SPACE IS ENDOWED WITH A TORSE-FORMING VECTOR FIELD [PDF]

open access: yes, 2022
In the present paper, a Riemannian submersion pi between Riemannian manifolds such that the total space of pi endowed with a torse-forming vector field nu is studied.
Meric, Emsi Eken, Kilic, Erol
core   +1 more source

Some properties of biconcircular gradient vector fields; pp. 162–169 [PDF]

open access: yesProceedings of the Estonian Academy of Sciences, 2009
We consider a Riemannian manifold carrying a biconcircular gradient vector field X, having as generative a closed torse forming U. The existence of such an X is determined by an exterior differential system in involution depending on two arbitrary ...
Adela Mihai
doaj   +1 more source

Conformal η‐Ricci‐Yamabe Solitons within the Framework of ϵ‐LP‐Sasakian 3‐Manifolds

open access: yesAdvances in Mathematical Physics, Volume 2022, Issue 1, 2022., 2022
In the present note, we study ϵ‐LP‐Sasakian 3‐manifolds M3(ϵ) whose metrics are conformal η‐Ricci‐Yamabe solitons (in short, CERYS), and it is proven that if an M3(ϵ) with a constant scalar curvature admits a CERYS, then £Uζ is orthogonal to ζ if and only if Λ − ϵσ = −2ϵl + (mr/2) + (1/2)(p + (2/3)). Further, we study gradient CERYS in M3(ϵ) and proved
Abdul Haseeb   +2 more
wiley   +1 more source

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