A study on Sasakian manifolds admitting ∗-η- Ricci-Bourguignon solitons

Amit Sil, Ali Akbar

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https://doi.org/10.37193/CMI.2026.01.09

Published on 21 February 2026

Issue no: Vol 35/2026 no. 1 Tags: $\eta$-Ricci soliton, $\ast$-$\eta$-Ricci-Bourguignon soliton, $\ast$-scalar curvature, $\eta$-Einstein manifold, Sasakian manifold

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Abstract.

The aim of the the present paper is to investigate some curvature properties of Sasakian manifold with respect to $\ast$ – $\eta$ -Ricci-Bourguignon soliton. We prove that a Sasakian manifold in view of $\ast$ – $\eta$ -Ricci-Bourguignon soliton has a cyclic Ricci tensor. We also study some curvature identities like $R(\xi,L).Ric_{g}=0$ , $Ric_{g}(\xi,M).R=0$ , $\bar{H}(\xi,N).Ric_{g}=0,$ where $\bar{H}$ is Pseudo-projective curvature tensor. An example is illustrated to support the result of the paper.