*-Conformal {\eta}-Ricci Soliton on Sasakian manifold

Abstract

In this paper we study *-Conformal {\eta}-Ricci soliton on Sasakian manifolds. Here, we discuss some curvature properties on Sasakian manifold admitting *-Conformal {\eta}-Ricci soliton. We obtain some significant results on *-Conformal {\eta}-Ricci soliton in Sasakian manifolds satisfying R({\xi},X).S = 0, S({\xi},X).R = 0, {\overline}P({\xi},X).S = 0, where {\overline}P is Pseudo-projective curvature tensor.The conditions for *-Conformal {\eta}-Ricci soliton on {\Phi}-conharmonically flat and {\Phi}-projectively flat Sasakian manifolds have been obtained in this article. Lastly we give an example of 5-dimensional Sasakian manifolds satisfying *-Conformal {\eta}-Ricci soliton.