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2026-01-21 14:08 UTC · math.DG · math.DG

Characterizations of $\ast$-Ricci-Bourguignon solitons on Kenmotsu manifolds

Soumendu Roy, Karthika Ramasamy, Lavanya Kumar, Purabi Jana

In this paper, we have found some features of $\ast$- Ricci Bourguignon Soliton on Kenmotsu manifold. We estimated the conditions for $\ast$-Ricci Bourguignon on Kenmotsu manifold to be compressing, balancing or enlarging accordingly. We have found some curvature properties of Kenmotsu manifold admitting $\ast$-Ricci Bourguignon Soliton. Additionally, we have featured $\ast$-Ricci Bourguignon on Kenmotsu manifold with torse-forming vector field. Finally, we proved an example of $5$-dimensional Kenmotsu manifold on $\ast$-Ricci Bourguignon Soliton.
arXiv abstractPDF

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