Ricci solitons on indefinite para-Kenmotsu manifolds satisfying semi-symmetry curvature conditions

Abstract

The main objective of this paper is to study Ricci solitons on a class of indefinite almost paracontact metric manifolds, namely indefinite para-Kenmotsu (also termed, ($\epsilon$)-para Kenmotsu) manifolds satisfying semi-symmetry curvature conditions. In the conclusion, we develop an example of an indefinite para-Kenmotsu manifold with dimension of $3$, which confirms the results described in this paper. A comparison table with the results obtained for ($\epsilon$)-para Sasakian manifolds is included in the final version of the results.