Results 31 to 40 of about 140 (130)
Conformal η-Ricci soliton in Lorentzian para Kenmotsu manifolds
The objective of the present paper is to study conformal η-Ricci soliton on Lorentzian Para-Kenmotsu manifolds with some curvature conditions. We study Concircular curvature tensor, Quasi conformal curvature tensor, Codazi type of Ricci tensor and cyclic parallel Ricci tensor in Lorentzian Para-Kenmotsu manifolds.
Prasad, Rajendra, Kumar, Vinay
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Characteristics of Sasakian Manifolds Admitting Almost ∗-Ricci Solitons
This article presents some results of a geometric classification of Sasakian manifolds (SM) that admit an almost ∗-Ricci soliton (RS) structure (g,ω,X). First, we show that a complete SM equipped with an almost ∗-RS with ω≠ const is a unit sphere.
Vladimir Rovenski, Dhriti Sundar Patra
doaj +1 more source
$*$-conformal $\eta-$Ricci solitons on $\epsilon-$para Sasakian manifolds
Summary: The object of the present paper is to characterize \(\epsilon\)-para Sasakian manifolds admitting \(*\)-conformal \(\eta\)-Ricci solitons. Finally, the existence of \(*\)-conformal \(\eta\)-Ricci soliton in an \(\epsilon\)-para Sasakian manifold is proved by a concrete example.
De, Uday Chand, Haseeb, Abdul
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A New Class of Contact Pseudo Framed Manifolds with Applications
In this paper, we introduce a new class of contact pseudo framed (CPF)-manifolds M,g,f,λ,ξ by a real tensor field f of type 1,1, a real function λ such that f3=λ2f where ξ is its characteristic vector field. We prove in our main Theorem 2 that M admits a
K. L. Duggal
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Conformally Flat Siklos Metrics Are Ricci Solitons [PDF]
We study and solve the Ricci soliton equation for an arbitrary locally conformally flat Siklos metric, proving that such spacetimes are always Ricci solitons.
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Conformal Submersions Whose Total Manifolds Admit a Ricci Soliton
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
Meena, Kiran, Yadav, Akhilesh
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Clairaut conformal submersions from Ricci solitons
In the present article, we characterize Clairaut conformal submersions whose total manifolds admit a Ricci soliton and provide a non-trivial example of such Clairaut conformal submersions. We firstly calculate scalar curvature and Ricci tensors of total manifolds of Clairaut conformal submersions and provide necessary conditions for the fibres of such ...
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$$*$$-Conformal $$\eta $$-Ricci soliton within the framework of Kenmotsu manifolds
The goal of our present paper is to deliberate $*$-conformal $\eta$-Ricci soliton within the framework of Kenmotsu manifolds. Here we have shown that a Kenmotsu metric as a $*$-conformal $\eta$-Ricci soliton is Einstein metric if the soliton vector field is contact. Further, we have evolved the characterization of the Kenmotsu manifold or the nature of
Sumanjit Sarkar, Santu Dey
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Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
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This paper investigates the complete lift of para‐Sasakian structures to the tangent bundle equipped with the Schouten–van Kampen connection (SVKC). By analyzing curvature tensors and soliton equations, we establish the existence of Ricci, Yamabe, and η‐Ricci solitons in the lifted setting.
Lalnunenga Colney +3 more
wiley +1 more source

