A study of eta-Ricci soliton on 3-dimensional f-Kenmotsu manifolds with semisymmetric non-metric connection

Abstract

In this paper, we study three-dimensional f-Kenmotsu manifolds endowed with a semi-symmetric non-metric connection, subject to the curvature conditions R̃ · S̃= 0 and S̃ · R̃ = 0. We also consider η-Ricci solitons on these manifolds with respect to the same semi-symmetric non-metric connection and obtain several results.