University of Mohaghegh Ardabili Journal of Hyperstructures 2251-8436 13 2 2024 12 01 Ricci-Bourguignon soliton on three dimensional para-Sasakian manifold 257 270 3535 10.22098/jhs.2024.15173.1016 EN Yashaswini R Department of mathematics, Jnana bharathi campus Banglore Banglore, India Nagaraja H.G. Department of Mathematics, Bangalore university, Bengalure, India Journal Article 2024 06 01 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. RB-soliton para-Sasakian manifold affine conformal vector field torse forming vector field https://jhs.uma.ac.ir/article_3535_74e22d3490bd9b9cfd0d5c713282b3f6.pdf