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Higher dimensional steady Ricci solitons with linear curvature decay
Journal of the European Mathematical Society ( IF 2.6 ) Pub Date : 2020-10-05 , DOI: 10.4171/jems/1003 Yuxing Deng 1 , Xiaohua Zhu 2
Journal of the European Mathematical Society ( IF 2.6 ) Pub Date : 2020-10-05 , DOI: 10.4171/jems/1003 Yuxing Deng 1 , Xiaohua Zhu 2
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We prove that any noncompact $\kappa$-noncollapsed steady Ricci soliton with nonnegative curvature operator must be rotationally symmetric if it has a linear curvature decay.
中文翻译:
具有线性曲率衰减的高维稳定 Ricci 孤子
我们证明了任何具有非负曲率算子的非紧 $\kappa$-noncollapsed 稳定 Ricci 孤子,如果它具有线性曲率衰减,则它必须是旋转对称的。
更新日期:2020-10-05
中文翻译:
具有线性曲率衰减的高维稳定 Ricci 孤子
我们证明了任何具有非负曲率算子的非紧 $\kappa$-noncollapsed 稳定 Ricci 孤子,如果它具有线性曲率衰减,则它必须是旋转对称的。