A Kenmotsu metric as a conformal $\eta$-Einstein soliton

Abstract

The object of the present paper is to study some properties of Kenmotsu manifold whose metric is conformal $\eta$-Einstein soliton. We have studied certain properties of Kenmotsu manifold admitting conformal $\eta$-Einstein soliton. We have also constructed a 3-dimensional Kenmotsu manifold satisfying conformal $\eta$-Einstein soliton.

Keywords

• einstein soliton
• $\eta$-einstein soliton
• conformal $\eta$-einstein soliton
• $\eta$-einstein manifold
• kenmotsu manifold