We consider almost $\eta$-Ricci solitons in $(LCS)_n$-manifolds satisfying certain curvature conditions. We provide a lower and an upper bound for the norm of the Ricci curvature in the gradient case, derive a Bochner-type formula for an almost $\eta$-Ricci soliton and state some consequences of it on an $(LCS)_n$-manifold.
"Almost $\eta$-Ricci solitons in $(LCS)_n$-manifolds." Bull. Belg. Math. Soc. Simon Stevin 25 (5) 641 - 653, december 2018. https://doi.org/10.36045/bbms/1547780426