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O(2)-symmetry of 3D steady gradient Ricci solitons
Geometry/Topology| Speaker: | Yi Lai, Stanford |
| Location: | Zoom |
| Start time: | Tue, May 24 2022, 1:10PM |
For any 3D steady gradient Ricci soliton, if it is asymptotic to a ray we prove that it must be isometric to the Bryant soliton. Otherwise, it is asymptotic to a sector and called a flying wing. We show that all flying wings are O(2)-symmetric. Hence, all 3D steady gradient Ricci solitons are O(2)-symmetric.