Bulletin of the
Korean Mathematical Society BKMS

We prove that a semi-symmetric 3-dimensional gradient Ricci soliton is locally isometric to a space form $\mathbb S^3$, $\mathbb H^3$, $\mathbb R^3$ (Gaussian soliton); or a product space $\mathbb R\times \mathbb S^2$, $\mathbb R\times \mathbb H^2$, where the potential function depends only on the nullity.

Keywords: semi-symmetric spaces, gradient Ricci solitons, Gaussian soliton

MSC numbers: 53C21, 53C25