Eta-Ricci solitons on Lorentzian para-Kenmotsu manifolds

Abstract

This work introduces the investigation of ETA(η)-Ricci solitons on a Lorentzian para-Kenmotsu manifold. In this study, we investigate η-Ricci solitons on Lorentzian para-Kenmotsu manifolds satisfying the condition C.D=0. Additionally, we have constructed and thoroughly shown the findings about the harmonic and Weyl harmonic curvature tensor. Furthermore, our study focuses on the outcomes obtained by investigating Lorentzian para-kenmotsu manifolds that possess a η-Ricci soliton meeting the curvature requirement N•ψ=0. Finally, we provide an illustrative case of a manifold that demonstrates the presence of proper η-Ricci solitons.