Amirkabir University of Technology AUT Journal of Mathematics and Computing 2783-2449 5 1 2024 01 01 Generalized $\eta$-Ricci solitons on $f$-Kenmotsu $3$-manifolds associated to the Schouten-van Kampen connection 19 26 5092 10.22060/ajmc.2023.22014.1129 EN Shahroud Azami Department of Pure Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran 0000-0002-8976-2014 Journal Article 2022 12 14 In this paper, we investigate $f$-Kenmotsu $3$-dimensional manifolds admitting generalized $\eta$-Ricci solitons with respect to the Schouten-van Kampen connection. We provide an example of generalized $\eta$-Ricci solitons with respect to the Schouten-van Kampen connection on an $f$-Kenmotsu $3$-dimensional manifold to prove our results. $f$-Kenmotsu manifolds Generalized $\eta$-Ricci soliton Schouten-van Kampen https://ajmc.aut.ac.ir/article_5092_73d915c91b99b170993ea97d875a6330.pdf