##### Department of Mathematics,

University of California San Diego

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### MATH 258 - Differential Geometry Seminar

## Yi Lai

#### Stanford University

## 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.

### June 2, 2022

### 11:00 AM

Zoom ID 924 6512 4982

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