Kar, Debabrata2022-12-212022-12-212021https://doi.org/10.31801/cfsuasmas.769405http://hdl.handle.net/20.500.12575/86256The object of the present paper is to characterize Cotton tensor on a 3-dimensional Sasakian manifold admitting η -Ricci solitons. After introduction, we study 3-dimensional Sasakian manifolds and introduce a new notion, namely, Cotton pseudo-symmetric manifolds. Next we deal with the study Cotton tensor on a Sasakian 3-manifold admitting η -Ricci solitons. Among others we prove that such a manifold is a manifold of constant scalar curvature and Einstein manifold with some appropriate conditions. Also, we classify the nature of the soliton metric. Finally, we give an important remark.enEinstein manifold, Ricci soliton, η -Ricci soliton, Cotton tensor, Sasakian manifoldArticle7025695811303-5991