Certain Properties of η-Ricci soliton on η-Einstein Para-Kenmotsu Manifolds

Abstract

The objective of present research paper is to be investigate the geometric properties of η-Ricci solitons on η-Einstein para-Kenmotsu manifolds. In this manner, we consider η-Ricci solitons on η-Einstein para-kenmotsu manifolds satistfying R.S = 0. Further, we obtain results for η-Ricci solitons on η-Einstein para-Kenmotsu manifolds with quasi-conformal flat property. Moreover, we get result for η-Ricci solitins in η-Einstein para-Kenmotsu manifolds admitting Codazzi type of Ricci tensor and cyclic parallel Ricci tensor, η-quasi-conformally semi-symmetric, η-Ricci symmetric and quasi-conformally Ricci semi-symmetric. At last, we construct an example of a such manifold which justify the existence of proper η-Ricci solitons.