## Bulletin of the Belgian Mathematical Society - Simon Stevin

### Yamabe solitons on three-dimensional Kenmotsu manifolds

Yaning Wang

#### Abstract

Let the Riemannian metric of a three-dimensional Kenmotsu manifold be a Yamabe soliton. In this paper, we prove that the Kenmotsu manifold is of constant sectional curvature $-1$ and the Yamabe soliton is expanding with the soliton constant $\lambda=-6$.

#### Article information

Source
Bull. Belg. Math. Soc. Simon Stevin, Volume 23, Number 3 (2016), 345-355.

Dates
First available in Project Euclid: 6 September 2016