Asymptotic behavior of positively curved steady Ricci solitons
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- by Yuxing Deng and Xiaohua Zhu PDF
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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.References
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Additional Information
- Yuxing Deng
- Affiliation: School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, People’s Republic of China
- Email: dengyuxing@mail.bnu.edu.cn
- Xiaohua Zhu
- Affiliation: School of Mathematical Sciences and BICMR, Peking University, Beijing, 100871, People’s Republic of China
- Email: xhzhu@math.pku.edu.cn
- Received by editor(s): February 8, 2016
- Received by editor(s) in revised form: January 14, 2017
- Published electronically: December 27, 2017
- Additional Notes: The second author was partially supported by the NSFC Grants 11271022 and 11331001
- © Copyright 2017 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 370 (2018), 2855-2877
- MSC (2010): Primary 53C25; Secondary 53C55, 58J05
- DOI: https://doi.org/10.1090/tran/7235
- MathSciNet review: 3748587