Results 91 to 100 of about 148 (141)
Mathematics, 2019 The purpose of this article is to obtain geometric conditions in terms of gradient Ricci curvature, both necessary and sufficient, for a warped product semi-slant in a Kenmotsu space form, to be either CR-warped product or simply a Riemannian product ...
Ali H. Alkhaldi, Akram Ali
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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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Characterization of Ricci Solitons and Harmonic Vector Fields on the Lie Group Nil4
MathematicsThis study considers a left-invariant Riemannian metric g on the Lie group Nil4. We introduce a Ricci solitons’ classification on (Nil4,g). These are expansive non-gradient Ricci solitons.
Yanlin Li +2 more
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MathematicsLet (M,∇,g) be a statistical manifold and TM be its tangent bundle endowed with a twisted Sasaki metric G. This paper serves two primary objectives. The first objective is to investigate the curvature properties of the tangent bundle TM.
Lixu Yan +3 more
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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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