Geometric Analysis and Topology Seminar

---

O(2)-symmetry of 3D steady gradient Ricci solitons

Speaker: Yi Lai, Stanford University

Location: Online

Videoconference link: https://nyu.zoom.us/j/94747124588

Date: Wednesday, May 4, 2022, 11 a.m.

Synopsis:

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.