In the present paper, we define Lorentzian para-Kenmotsu manifolds and study Ricci-
pseudosymmetric, Ricci-generalized pseudosymmetric and symmetric conditions to
characterize Lorentzian para-Kenmotsu manifolds. Next, we study Lorentzian para-
Kenmotsu manifolds satisfying the curvature condition S• R= 0. Moreover, we study Ricci
solitons on Lorentzian para-Kenmotsu manifolds. Finally, we give an example of a 5-
dimensional Lorentzian para-Kenmotsu manifold to verify some results of the paper.

… Motivated by the above studies, in this paper we study η-Ricci soliton on 3-dimensional
Lorentzian para-Kenmotsu manifolds satisfying certain curvature conditions. The paper is organized
as follows: In Section 2, we give a brief introduction of Lorentzian para-Kenmotsu manifolds.
Section 3 deals with the study of η-Ricci solitons on 3-dimensional … In Section 4, we study
η-Ricci solitons on 3-dimensional Lorentzian para-Kenmotsu manifolds admitting Codazzi
type of Ricci tensor and cyclic η-recurrent Ricci tensor. η-Ricci solitons on 3-dimensional …