Abstract
In the present paper we study η-Ricci solitons on three-dimensional para-Kenmotsu manifolds with the curvature condition R.Q=0. Also we study conformal flat, projectively flat and concircularly flat η-Ricci soliton on a three-dimensional para-Kenmotsu manifold. Finally, we construct an example of a three-dimensional para-Kenmotsu manifold which admits η-Ricci solitons.
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