- Mathematical Sciences and Applications E-Notes
- Vol: 8 Issue: 2
- A Note on Gradient $\ast$-Ricci Solitons
A Note on Gradient $\ast$-Ricci Solitons
Authors : Krishnendu DE
Pages : 79-85
Doi:10.36753/mathenot.727083
View : 7 | Download : 4
Publication Date : 2020-10-15
Article Type : Research
Abstract :In the offering exposition we characterize $(k,\mu)'$- almost Kenmotsu $3$-manifolds admitting gradient $\ast$-Ricci soliton. It is shown that a $(k,\mu)'$- almost Kenmotsu manifold with $k<-1$ is admitting a gradient $\ast$-Ricci soliton, either the soliton is steady or the manifold is locally isometric to a rigid gradient Ricci soliton $\mathbb{H}^{2}(-4)\times \mathbb{R}$. .Keywords : $(k \mu)'$- almost Kenmotsu manifolds, $\ast$-Ricci solitons, gradient $\ast$-Ricci solitons