Perfect-fluid, generalised Robertson-Walker space-times, and Gray's decomposition [PDF]
, 2019 We give new necessary and sufficient conditions on the Weyl tensor for generalized Robertson-Walker (GRW) space-times to be perfect-fluid space-times.
Mantica, Carlo Alberto +3 more
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$\eta$-Ricci solitons in $(\varepsilon)$-almost paracontact metric manifolds
, 2017 The object of this paper is to study $\eta$-Ricci solitons on $(\varepsilon)$-almost paracontact metric manifolds. We investigate $\eta$-Ricci solitons in the case when its potential vector field is exactly the characteristic vector field $\xi$ of the $(\
Acet, Bilal Eftal +3 more
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*-Ricci-Yamabe soliton on Kenmotsu manifold with torse forming potential vector field
FilomatThe 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.
R RoySoumendu +4 more
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ON RICCI SOLITONS AND SUBMANIFOLDS WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION [PDF]
We consider Ricci solitons with a semi-symmetric non-metric connection. We find some properties, when the potential vector field is torse-forming.
Doğru, Yusuf
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Characterizations of a Lorentzian Manifold with a semi-symmetric metric connection [PDF]
In this article, we characterize a Lorentzian manifold $\mathcal{M}$ with a semi-symmetric metric connection. At first, we consider a semi-symmetric metric connection whose curvature tensor vanishes and establish that if the associated vector field is a ...
De, Krishnendu +2 more
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Remarks on Einstein solitons with certain types of potential vector field
, 2021 We consider almost Einstein solitons $(V,\lambda)$ in a Riemannian manifold when $V$ is a gradient, a solenoidal or a concircular vector field. We explicitly express the function $\lambda$ by means of the gradient vector field $V$ and illustrate the ...
Blaga, Adara M., Latcu, Dan Radu
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GENERALIZED η-RICCI SOLITONS ON TRANS-SASAKIAN MANIFOLDS ASSOCIATED TO THE SCHOUTEN-VAN KAMPEN CONNECTION [PDF]
In this paper, we study generalized η-Ricci solitons with respect to the Schouten-van Kampen connection on trans-Sasakian manifolds. We give an example of generalized η-Ricci solitons on a trans-Sasakian manifold with respect to the Schouten-van Kampen ...
Azami, Shahroud
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On h-almost conformal η-Ricci-Bourguignon soliton in a perfect fluid spacetime [PDF]
The primary object of the paper is to study h-almost conformal η-Ricci-Bourguignon soliton in an almost pseudo-symmetric Lorentzian Kähler spacetime manifold when some different curvature tensors vanish identically.
Pahan, Sampa
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η-Ricci Soliton on 3-Dimensional f-Kenmotsu Manifolds [PDF]
, 2018 The object of the present paper is to carry out η-Ricci soliton on 3-dimensional regularf-Kenmotsu manifold and we turn up some geometrical results.
Chaubey, S. K., Hui, S. K., Yadav, S. K.
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The least-curvature principle of Gauss and Hertz and geometric dynamics [PDF]
, 2008 9789606766763International audienceThis paper shows how we can study real life problems in economics, biology and engineering with tools from differential geometry.
CIANCIO, ARMANDO +4 more
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