Results 51 to 60 of about 38,409 (231)
Ricci soliton solvmanifolds [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2011 18 pages, to appear in Crelle's ...
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Imperfect Fluid Generalized Robertson Walker Spacetime Admitting Ricci-Yamabe Metric
Advances in Mathematical Physics, 2021 In the present paper, we investigate the nature of Ricci-Yamabe soliton on an imperfect fluid generalized Robertson-Walker spacetime with a torse-forming vector field ξ.
Ali H. Alkhaldi +3 more
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On the relation between Ricci-Harmonic solitons and Ricci solitons
Journal of Mathematical Analysis and Applications, 2017 Abstract Let ( M m , g i j ) and ( N n , h β γ ) be two Riemannian manifolds, and ϕ : M → N a smooth map. By definition, a gradient Ricci-Harmonic soliton satisfies (0.1) { R i j − α ∇ i ϕ ∇ j ϕ + ∇ i ∇ j f = λ g i j ;
Meng Zhu, Meng Zhu
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η-Ricci Solitons on Sasakian 3-Manifolds
Annals of the West University of Timisoara: Mathematics and Computer Science, 2017 In this paper we study η-Ricci solitons on Sasakian 3-manifolds. Among others we prove that an η-Ricci soliton on a Sasakian 3-manifold is an η-Einstien manifold.
Majhi Pradip +2 more
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H-almost Ricci-Yamabe solitons in paracontact geometry [PDF]
arXiv, 2021 In this article, we classify h-almost Ricci-Yamabe solitons in paracontact geometry. In particular, we characterize para-Kenmotsu manifolds satisfying h-almost Ricci-Yamabe solitons and 3-dimensional para-Kenmotsu manifolds obeying h-almost gradient Ricci-Yamabe solitons.
arxiv
Topology of Kähler Ricci solitons
Journal of Differential Geometry, 2015 We prove that any shrinking Kahler Ricci soliton has only one end, and that any expanding Kahler Ricci soliton with proper potential has only one end.
Munteanu, Ovidiu, Wang, Jiaping
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Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Sasakian Space Forms
Communications in Advanced Mathematical Sciences, 2023 In this paper, we consider pseudosymmetric Lorentz Sasakian space forms admitting almost $\eta-$Ricci solitons in some curvature tensors. Ricci pseudosymmetry concepts of Lorentz Sasakian space forms admits $\eta-$Ricci soliton have introduced according ...
Mehmet Atçeken, Tuğba Mert
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On Submanifolds of Riemannian Manifolds Admitting a Ricci Soliton [PDF]
Memoirs of the Scientific Sections of the Romanian Academy, 2019 The aim of this paper is to study the conditions under which a submanifold of a Ricci soliton is also a Ricci soliton or an almost Ricci soliton. We give here a classification for Ricci solitons and their submanifolds according to their expanding ...
Semsi Eken Meric, Erol Kilic
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Ricci soliton and Ricci almost soliton within the framework of Kenmotsu manifold
Karpatsʹkì Matematičnì Publìkacìï, 2019 First, we prove that if the Reeb vector field $\xi$ of a Kenmotsu manifold $M$ leaves the Ricci operator $Q$ invariant, then $M$ is Einstein. Next, we study Kenmotsu manifold whose metric represents a Ricci soliton and prove that it is expanding ...
A. Ghosh
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On Sasaki–Ricci solitons and their deformations [PDF]
Advances in Geometry, 2016 Abstract We extend to the Sasakian setting a result of Tian and Zhu about the decomposition of the Lie algebra of holomorphic vector fields on a Kähler manifold in the presence of a Kähler-Ricci soliton. Furthermore we apply known deformations of Sasakian structures to a Sasaki-Ricci soliton to obtain a stability result concerning ...
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