@article{article_1357924, title={$\star$-Ricci-Yamabe solitons on almost coKähler manifolds}, journal={Hacettepe Journal of Mathematics and Statistics}, volume={54}, pages={874–893}, year={2025}, DOI={10.15672/hujms.1357924}, author={De, U.c. and Blaga, Adara M. and Sarkar, Avijit and Mandal, Tarak}, keywords={almost coKähler manifold, $(\kappa$, $\mu)$-nullity distribution, $\star$-Ricci curvature, Ricci soliton, Yamabe soliton}, abstract={The aim of the present article is to analyze $\star$-Ricci--Yamabe solitons on almost coKähler manifolds and to characterize them when the potential vector field is pointwise collinear with the Reeb vector field. It is proved that a compact almost coKähler manifold admitting a $\star$-Ricci--Yamabe soliton under certain restriction on $\star$-scalar curvature is coKähler and $\star$-Ricci flat; in addition, that the soliton is steady. $(\kappa, \mu)$-almost coKähler manifolds admitting such solitons are also considered and finally, the obtained results are completed by non-trivial examples.}, number={3}, publisher={Hacettepe University}