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Rigidity of \(\kappa \)-noncollapsed steady Kähler–Ricci solitons

  • Yuxing Deng
  • Xiaohua ZhuEmail author
Article
  • 26 Downloads

Abstract

In this paper, we show that any n-dimensional \(\kappa \)-noncolla-psed steady (gradient) Kähler–Ricci soliton with nonnegative bisectional curvature must be flat. The result is an improvement to our former work in Deng and Zhu (Trans Am Math Soc 370(4):2855–2877, 2018).

Mathematics Subject Classification

Primary 53C25 Secondary 53C55 58J05 

Notes

Acknowledgements

The work was done partially when the second named author was visiting at the Mathematical Sciences Research Institute at Berkeley during the spring 2016 semester. He would like to thank her hospitality and the financial supports, NSF Grants DMS-1440140, and Simons Foundation. The authors also thank referees for valuable suggestions to the paper.

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.School of Mathematics and StatisticsBeijing Institute of TechnologyBeijingChina
  2. 2.School of Mathematical Sciences and BICMRPeking UniversityBeijingChina

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