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Geometry and Topology Seminar

Friday, January 22, 2021
3:00pm to 4:00pm
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A family of 3d steady gradient solitons that are flying wings
Yi Lai, Department of Mathematics, UC 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.

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