Results 1 to 10 of about 127 (109)
Geometry of conformal η-Ricci solitons and conformal η-Ricci almost solitons on paracontact geometry
Open Mathematics, 2022 We prove that if an η\eta -Einstein para-Kenmotsu manifold admits a conformal η\eta -Ricci soliton then it is Einstein. Next, we proved that a para-Kenmotsu metric as a conformal η\eta -Ricci soliton is Einstein if its potential vector field VV is ...
Yanlin Li, Santu Dey, Akram Ali
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Karpatsʹkì Matematičnì Publìkacìï, 2023 The goal of this paper is to find some important Einstein manifolds using conformal Ricci solitons and conformal Ricci almost solitons. We prove that a Kenmotsu metric as a conformal Ricci soliton is Einstein if it is an $\eta$-Einstein or the potential ...
S. Dey
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f– Kenmotsu Metric as Conformal Ricci Soliton [PDF]
Annals of the West University of Timisoara: Mathematics and Computer Science, 2017 In this paper, we study conformal Ricci solitons in f- Kenmotsu manifolds. We derive conditions for f-Kenmotsu metric to be a conformal Ricci soliton.
Nagaraja H. G., Venu K.
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Half conformally flat gradient Ricci almost solitons. [PDF]
Proc Math Phys Eng Sci, 2016 The local structure of half conformally flat gradient Ricci almost solitons is investigated, showing that they are locally conformally flat in a neighbourhood of any point where the gradient of the potential function is non-null.
Brozos-Vázquez M +2 more
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Conformal Ricci solitons and related integrability conditions [PDF]
Advances in Geometry, 2016 Abstract We introduce, in the Riemannian setting, the notion of conformal Ricci soliton, which includes as particular cases Einstein manifolds, conformal Einstein manifolds and (generic and gradient) Ricci solitons. We provide necessary integrability conditions for the existence of these structures that also recover, in the corresponding
Giovanni Catino +2 more
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$$*$$-Conformal $$\eta $$-Ricci soliton within the framework of Kenmotsu manifolds
Ricerche Di Matematica, 2023 The goal of our present paper is to deliberate $*$-conformal $η$-Ricci soliton within the framework of Kenmotsu manifolds. Here we have shown that a Kenmotsu metric as a $*$-conformal $η$-Ricci soliton is Einstein metric if the soliton vector field is contact.
Sumanjit Sarkar, Santu Dey, Dey Santu
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Ricci Soliton and Certain Related Metrics on a Three-Dimensional Trans-Sasakian Manifold
Universe, 2022 In this article, a Ricci soliton and *-conformal Ricci soliton are examined in the framework of trans-Sasakian three-manifold. In the beginning of the paper, it is shown that a three-dimensional trans-Sasakian manifold of type (α,β) admits a Ricci ...
Yanlin Li, Sumanjit Sarkar, Santu Dey
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European Physical Journal C: Particles and FieldsWe explore the Geometrization of hyperbolic conformal Ricci solitons and examine the properties of bulk viscous fluid string spacetime in conjunction with the hyperbolic conformal Ricci solitons in this research note. A $$\varnothing ({\mathfrak {Q}})$$ ∅
Mohd Danish Siddiqi +2 more
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Conformal Submersions Whose Total Manifolds Admit a Ricci Soliton
Mediterranean Journal of Mathematics, 2023 In this paper, we study conformal submersions from Ricci solitons to Riemannian manifolds with non-trivial examples. First, we study some properties of the O'Neill tensor $A$ in the case of conformal submersion. We also find a necessary and sufficient condition for conformal submersion to be totally geodesic and calculate the Ricci tensor for the total
Kiran Meena
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Conformal Ricci soliton in Sasakian manifolds admitting general connection [PDF]
Journal of HyperstructuresThe object of the present paper is to study the Conformal Ricci soliton in Sasakian manifold admitting general connection, which is induced with quarter symmetric metric connection, generalized Tanaka Webster connection, Schouten-Van Kampen connection ...
Raghujyoti Kundu +2 more
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