Results 51 to 60 of about 7,482 (208)
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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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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Locally conformally flat ancient Ricci flows [PDF]
, 2015 We show that any locally conformally flat ancient solution to the Ricci flow must be rotationally symmetric. As a by-product, we prove that any locally conformally flat Ricci soliton is a gradient soliton in the shrinking and steady cases as well as in ...
Catino, Giovanni +2 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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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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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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n-Ricci-Bourguignon solitons with a semi-symmetric metric and semi-symmetric non-metric connection
AIMS Mathematics, 2023 We consider a generalization of a Ricci soliton as $ \eta $-Ricci-Bourguignon solitons on a Riemannian manifold endowed with a semi-symmetric metric and semi-symmetric non-metric connection.
Yusuf Dogru
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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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Sufficient conditions for triviality of Ricci solitons
AIMS MathematicsWe found conditions on an $ n $-dimensional Ricci soliton $ \left(M, g, \mathbf{u}, \lambda \right) $ to be trivial. First, we showed that under an appropriate upper bound on the squared length of the covariant derivative of the potential field $ \mathbf{
Nasser Bin Turki, Sharief Deshmukh
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