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On locally conformally flat gradient steady Ricci solitons

Huai-Dong Cao Lehigh University Qiang Chen Lehigh University

Differential Geometry mathscidoc:1703.10009

Trans. Amer. Math. Soc. , 364, (5), 2377–2391, 2012
In this paper, we classify n-dimensional (n ≥ 3) complete non-compact locally conformally flat gradient steady solitons. In particular, we prove that a complete noncompact nonflat locally conformally flat gradient steady Ricci soliton is, up to scaling, the Bryant soliton.
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@inproceedings{huai-dong2012on,
  title={On locally conformally flat gradient steady Ricci solitons},
  author={Huai-Dong Cao, and Qiang Chen},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170313112957459753669},
  booktitle={Trans. Amer. Math. Soc. },
  volume={364},
  number={5},
  pages={2377–2391},
  year={2012},
}
Huai-Dong Cao, and Qiang Chen. On locally conformally flat gradient steady Ricci solitons. 2012. Vol. 364. In Trans. Amer. Math. Soc. . pp.2377–2391. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170313112957459753669.
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