Rigidity of Five-Dimensional shrinking gradient Ricci solitons

Fengjiang Li, Jianyu Ou, Yuanyuan Qu +1

Suppose $(M,g,f)$ is a 5-dimensional complete shrinking gradient Ricci soliton with $R=1$. If it has bounded curvature, we prove that it is a finite quotient of $\mathbb{R}^3\tim…