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arXiv · 2601.15009

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

Soumendu Roy·Karthika Ramasamy·Lavanya Kumar·Purabi Jana
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Abstract

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.

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Soumendu Roy, Karthika Ramasamy, Lavanya Kumar, Purabi Jana. 2026-01-21. Characterizations of $\ast$-Ricci-Bourguignon solitons on Kenmotsu manifolds. https://arxiv.org/abs/2601.15009

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