Classification of cohomogeneity one steady gradient Ricci solitons in dimension four and five

@misc{deng2026classification,
  title = {{Classification of cohomogeneity one steady gradient Ricci solitons in dimension four and five}},
  author = {Yuxing Deng and Guohao Wang},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.08206},
  eprint = {2611.08206},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.08206},
}

TY  - UNPB
TI  - Classification of cohomogeneity one steady gradient Ricci solitons in dimension four and five
AU  - Yuxing Deng
AU  - Guohao Wang
PY  - 2026
DA  - 2026/11/05
PB  - arXiv
DO  - 10.48550/arxiv.2611.08206
UR  - https://arxiv.org/abs/2611.08206
AB  - In this paper, we first prove Appleton's conjecuture on the uniqueness of noncollapsed steady solitons constructed in \cite{Appleton}. We also classify non-Ricci-flat κ-noncollapsed cohomogeneity one steady gradient Ricci solitons in dimension four and five. After passing to a finite cover, in dimension four, they must be the Bryant soliton or Appleton's noncollapsed 4d steady soliton; in dimension five, they must be the Bryant soliton or solitons constructed by Ivey--Dancer--Wang.
ER  -