On complete gradient steady Ricci solitons with vanishing 𝐷-tensor

@inproceedings{Cao2020OnCG,
  title={On complete gradient steady Ricci solitons with vanishing 𝐷-tensor},
  author={Huai-Dong Cao and Jiangtao Yu},
  year={2020}
}
In this paper, we extend the work in [9] to classify n-dimensional (n ≥ 5) complete D-flat gradient steady Ricci solitons. More precisely, we prove that any n-dimensional complete noncompact gradient steady Ricci soliton with vanishing D-tensor is either Ricci-flat, or isometric to the Bryant soliton. Furthermore, the proof extends to the shrinking case and the expanding case as well. 
2 Citations

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