We prove that any noncompact -noncollapsed steady (gradient) Ricci soliton with nonnegative curvature operator must be rotationally symmetric if it has linear curvature decay.
Cite this article
Yuxing Deng, Xiaohua Zhu, Higher dimensional steady Ricci solitons with linear curvature decay. J. Eur. Math. Soc. 22 (2020), no. 12, pp. 4097–4120DOI 10.4171/JEMS/1003