About this Event
Speaker: Yi Lai (Stanford University)
Title: O(2)-symmetry of 3D steady gradient Ricci solitons.
Abstract: 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.