Conformal Yamabe soliton and * -Yamabe soliton with torse forming potential vector field
The goal of this paper is to study conformal Yamabe soliton and $*$-Yamabe soliton, whose potential vector field is torse forming. Here, we have characterized conformal Yamabe soliton admitting potential vector field as torse forming with respect to Riemannian connection, semi-symmetric metric connection and projective semi-symmetric connection on ...
Roy, Soumendu +2 more
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SOME NOTES ON KENMOTSU MANIFOLD [PDF]
In the present paper, we deal with a Kenmotsu manifold $M$. Firstly, we study the notion of torse-forming vector field on such a manifold. Then, we investigate some curvature conditions such as $Q.\mathcal{M}=0$ and $C.Q=0$ on such a manifold and obtain ...
Yasar, Erol, Yoldaş, Halil İbrahim
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DIFFEOMORPHISM OF AFFINE CONNECTED SPACES WHICH PRESERVED RIEMANNIAN AND RICCI CURVATURE TENSORS [PDF]
Organ size regulation is dependent on the precise spatial and temporal regulation of cell proliferation and cell expansion. A number of transcription factors have been identified that play a key role in the determination of aerial lateral organ size, but
Gorou Horiguchi (5167928) +6 more
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Solitonic Aspect of Relativistic Magneto-Fluid Spacetime with Some Specific Vector Fields
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
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A condition for a perfect-fluid space-time to be a generalized Robertson-Walker space-time [PDF]
A perfect-fluid space-time of dimension n>3 with 1) irrotational velocity vector field, 2) null divergence of the Weyl tensor, is a generalised Robertson-Walker space-time with Einstein fiber. Condition 1) is verified whenever pressure and energy density
De, Uday Chand +2 more
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Cosmological perfect-fluids in f(R) gravity [PDF]
We show that an n-dimensional generalized Robertson-Walker (GRW) space-time with divergence-free conformal curvature tensor exhibits a perfect fluid stress-energy tensor for any f(R) gravity model.
Capozziello, Salvatore +2 more
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On 3-Dimensional (ε,δ)-Trans-Sasakian Structure [PDF]
The object of present paper is to study 3-dimensional $(\varepsilon,\delta)$-trans-Sasakian manifold admitting Ricci solitons and $K$-torse forming vector fields.
Maralabhavi, Y.B. +2 more
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CERTAIN RESULTS OF RICCI-YAMABE SOLITONS ON $(LCS)_N$-MANIFOLDS [PDF]
The goal of this paper is to characterize Lorentzian concircular structure manifolds (briefly, $(LCS)_n$-manifolds) admitting Ricci-Yamabe solitons.
Singh, Jay Prakash +1 more
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Almostη-Ricci and almostη-Yamabe solitons with torse-forming potential vector field
We provide properties of almost $η$-Ricci and almost $η$-Yamabe solitons on submanifolds isometrically immersed into a Riemannian manifold $\left(\widetilde{M},\widetilde{g} \right)$ whose potential vector field is the tangential component of a torse-forming vector field on $\widetilde{M}$, treating also the case of a minimal or pseudo quasi-umbilical ...
Blaga, Adara M., Özgür, Cihan
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Ricci-Bourguignon soliton on three dimensional para-Sasakian manifold [PDF]
In the present paper we study Ricci-Bourguignon solitons on three dimensional para-Sasakian manifolds with potential vector field as a special vector field. We proved the conditions for such manifold to be isometric to hyperbolic space.
Yashaswini R, Nagaraja H.G.
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