Ricci-Bourguignon soliton on three dimensional para-Sasakian manifold

Ricci-Bourguignon soliton on three dimensional para-Sasakian manifold

In the present paper we study Ricci-Bourguignon solitons on three dimensional para-Sasakian manifolds with potential vector field as a special vector field. We proved the conditions for such manifold to be isometric to hyperbolic space. Further, the nature of RB-soliton based on the value of real nu...

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Bibliographic Details
Main Authors: Yashaswini R, Nagaraja H.G.
Format: Article
Language:English
Published: University of Mohaghegh Ardabili 2024-12-01
Series:Journal of Hyperstructures
Subjects:
rb-soliton
para-sasakian manifold
affine conformal vector field
torse forming vector field
Online Access:https://jhs.uma.ac.ir/article_3535_74e22d3490bd9b9cfd0d5c713282b3f6.pdf
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Summary:In the present paper we study Ricci-Bourguignon solitons on three dimensional para-Sasakian manifolds with potential vector field as a special vector field. We proved the conditions for such manifold to be isometric to hyperbolic space. Further, the nature of RB-soliton based on the value of real numbers $\rho$ is investigated.
ISSN:2251-8436
2322-1666

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