3d steady Gradient Ricci Solitons with linear curvature decay

Yuxing Deng, Xiaohua Zhu

In this note, we prove that a 3-dimensional steady Ricci soliton is rotationally symmetric if its scalar curvature $R(x)$ satisfies $$\frac{C_0^{-1}}{ρ(x)}\le R(x)\le \frac{C_0}{ρ(…