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Geometric Analysis Seminar

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

Yi Lai from Berkeley

Location:  zoom
Date & time: Tuesday, 26 January 2021 at 2:30PM - 3:30PM

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 ? 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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