Asymptotic behavior of positively curved steady Ricci solitons

Deng, Yuxing; Zhu, Xiaohua

doi:10.1090/tran/7235

Asymptotic behavior of positively curved steady Ricci solitons
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by Yuxing Deng and Xiaohua Zhu PDF

Trans. Amer. Math. Soc. 370 (2018), 2855-2877 Request permission

Abstract:

In this paper, we analyze the asymptotic behavior of $\kappa$-noncollapsed and positively curved steady Ricci solitons and prove that any $n$-dimensional $\kappa$-noncollapsed steady Kähler–Ricci soliton with nonnegative sectional curvature must be flat.

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