Abstract
We prove that any noncompact κ-noncollapsed steady (gradient) Ricci soliton with nonnegative curvature operator must be rotationally symmetric if it has linear curvature decay.
| Original language | English |
|---|---|
| Pages (from-to) | 4097-4120 |
| Number of pages | 24 |
| Journal | Journal of the European Mathematical Society |
| Volume | 22 |
| Issue number | 12 |
| DOIs | |
| Publication status | Published - 5 Oct 2020 |
Keywords
- Perelman's conjecture
- Ricci flow
- Ricci soliton
- κ-solution
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Deng, Y., & Zhu, X. (2020). Higher dimensional steady Ricci solitons with linear curvature decay. Journal of the European Mathematical Society, 22(12), 4097-4120. https://doi.org/10.4171/JEMS/1003