η ‐Ricci‐Bourguignon solitons on three‐dimensional (almost) coKähler manifolds

The aim of the present article is to characterize (almost) coKähler manifolds admitting ‐Ricci‐Bourguignon solitons. Among others, it is proved that if a three‐dimensional compact almost coKähler manifold admits ‐Ricci‐Bourguignon soliton and the potential vector field is pointwise collinear with the Reeb vector field, then the manifold is K‐almost coKähler and ‐Einstein. Gradient ‐Ricci‐Bourguignon solitons on such manifolds are also considered. Finally, we construct an example of almost coKähler manifold to verify a result.