Higher dimensional steady Ricci solitons with linear curvature decay

Yuxing Deng; Xiaohua Zhu

doi:10.4171/jems/1003

JournalsjemsVol. 22, No. 12pp. 4097–4120

Higher dimensional steady Ricci solitons with linear curvature decay

Yuxing Deng
Beijing Institute of Technology, China
- MathSciNet
- zbMATH Open
Xiaohua Zhu
Peking University and Beijing International Center for Mathematical Research, Beijing, China
- MathSciNet
- zbMATH Open

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Abstract

We prove that any noncompact $κ$ -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. 4097–4120

DOI 10.4171/JEMS/1003