##### Department of Mathematics,

University of California San Diego

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### Math 258 - Differential Geometry Seminar

## Yi Lai

#### UC Berkeley

## A family of 3d steady gradient solitons that are flying wings

##### Abstract:

We find a family of 3d steady gradient Ricci solitons that are flying wings. This verifies a conjecture by Hamilton. For a 3d flying wing, we show that the scalar curvature does not vanish at infinity. The 3d flying wings are collapsed. For dimension $n \geq 4$, we find a family of $Z2$ $\times$ $O(n - 1)$-symmetric but non-rotationally symmetric n-dimensional steady gradient solitons with positive curvature operator. We show that these solitons are non-collapsed.

Host: Luca Spolaor

### January 27, 2021

### 10:00 AM

### Zoom link: Meeting ID: 988 8132 1752

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