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Conformal η-Ricci Solitons in δ-Lorentzian Trans Sasakian Manifolds
Mohd Danish Siddiqi
- Vol. 1, Iss: 1, pp 15-34
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TLDR
In this article, it was shown that a symmetric second order Covariant tensor in a δ-Lorentzian Trans Sasakian manifold is a constant multiple of metric tensors.Abstract:
The object of the present paper is to study the δ-Lorentzian Trans Sasakian manifolds admitting the conformal η-Ricci Solitons and gradient conformal Ricci soliton. It is shown that a symmetric second order covariant tensor in a δ-Lorentzian Trans Sasakian manifold is a constant multiple of metric tensor. Also an example of conformal η-Ricci soliton in 3-dimensional δ-Lorentzian Trans Sasakian manifold is provided in the region where δ-Lorentzian Trans Sasakian manifold expanding.read more
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Conformal $ \eta $-Ricci solitons within the framework of indefinite Kenmotsu manifolds
TL;DR: In this article , the authors consider the class of Ricci tensor tensors that admit conformal Ricci solitons on $ \epsilon $-Kenmotsu manifolds and present a characterization of the potential function.
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Geometry of conformal η-Ricci solitons and conformal η-Ricci almost solitons on paracontact geometry
Yanlin Li,Santu Dey,Sampa Pahan +2 more
TL;DR: In this paper , it was shown that if an η \eta -Einstein para-Kenmotsu manifold admits a conformal Ricci almost soliton and the Reeb vector field leaves the scalar curvature invariant then it is Einstein.
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*-Conformal {\eta}-Ricci Soliton on Sasakian manifold
TL;DR: The conditions for *-Conformal ∆-Ricci soliton on 5-dimensional Sasakian manifolds have been obtained in this paper, where the curvature properties of these manifold admit Ricci solitons.
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A Kenmotsu metric as a conformal $\eta$-Einstein soliton
TL;DR: In this article, the authors studied the properties of a 3-dimensional kenmotsu manifold whose metric is conformal π-Einstein soliton and showed that it admits conformal soliton.
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Kenmotsu metric as conformal $\eta$-Ricci soliton
TL;DR: In this paper, the authors investigated the nature of the conformal Ricci soliton within the framework of Kenmotsu manifolds and established a relation between the potential vector field and the Reeb vector field.
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