Results 101 to 110 of about 2,635 (149)
Ricci almost solitons and gradient Ricci almost solitons in $(k,\mu)$-paracontact geometry
Boletim da Sociedade Paranaense de Matemática, 2017 The purpose of this paper is to study Ricci almost soliton and gradient Ricci almost soliton in $(k,\mu)$-paracontact metric manifolds. We prove the non-existence of Ricci almost soliton in a $(k,\mu)$-paracontact metric manifold $M$ with $k<-1$ or $k>-1$ and whose potential vector field is the Reeb vector field $\xi$.
Uday Chand De, Krishanu Mandal
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Gradient Ricci solitons on multiply warped product manifolds
Filomat, 2018 We consider gradient Ricci solitons on multiply warped product manifolds. We find the necessary and sufficient conditions for multiply warped product manifolds to be gradient Ricci solitons.
Karaca, Fatma, Özgür, Cihan
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Ricci solitons and gradient Ricci solitons in three-dimensional trans-Sasakian manifolds
Filomat, 2012 The object of the present paper is to study 3-dimensional trans-Sasakian manifolds admitting Ricci solitons and gradient Ricci solitons. We prove that if (1,V, ?) is a Ricci soliton where V is collinear with the characteristic vector field ?, then V is a constant multiple of ?
Turana, Mine +2 more
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Solitonical Inequality on Submanifolds in Trans-Sasakian Manifolds Coupled with a Slant Factor
AxiomsIn this article, we study the Ricci soliton on slant submanifolds of trans-Sasakian manifolds with a quarter symmetric non-metric connection. Moreover, we derive a lower-bound-type inequality for the slant submanifolds of trans-Sasakian manifolds with a ...
Mohd Danish Siddiqi, Rawan Bossly
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Rigidity of Non-Steady Gradient Ricci Solitons
AxiomsLet (M,g) be a connected, compact Riemannian manifold of dimensionan n. We demonstrate that, after a suitable normalization, a shrinking gradient Ricci soliton (M,g,f,λ) is trivial exactly when the mean value of f is less than or equal to n2.
Mohammed Guediri
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MathematicsIn this article, we investigate Ricci solitons occurring on spacelike hypersurfaces of Einstein Lorentzian manifolds. We give the necessary and sufficient conditions for a spacelike hypersurface of a Lorentzian manifold, equipped with a closed conformal ...
Norah Alshehri, Mohammed Guediri
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Z-Solitons and Gradient Z-Solitons on α-Cosymplectic Manifolds
AxiomsIn this paper, we study Z-solitons and gradient Z-solitons on α-cosymplectic manifolds. The soliton structure is defined by the generalized tensor Z=S+βg, where S denotes the Ricci tensor, g the metric tensor, and β a smooth function.
Mustafa Yildirim +3 more
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A New Class of Almost Ricci Solitons and Their Physical Interpretation. [PDF]
Int Sch Res Notices, 2016 Duggal KL.
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