Abstract

The object of this paper is to study a special type of metrics called \({\eta}\)-Ricci solitons on para-Sasakian manifolds. We give the existence of para-Sasakian \({\eta}\)-Ricci solitons in our settings. In addition, the non-existence of certain geometric characteristics of para-Sasakian \({\eta}\)-Ricci solitons are studied. Finally, we discuss 3-dimensional and conformally flat para-Sasakian \({\eta}\)-Ricci solitons.

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