*-Conformal η-Ricci Soliton on Sasakian manifold

Abstract

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

Conformal Einstein soliton within the framework of para-K$ä$hler manifold

“…In 2015, N. Basu and A. Bhattacharyya [1] introduced the notion of Conformal Ricci soliton equation [7], [8], given by…”