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

Friday, January 15, 2021 - 12:00pm to 1:00pm
Online via Zoom


Yi Lai
PhD candidate
University of California, Berkeley


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 ≥ 4, we find a family of Z2 × 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.