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Geometry-Topology Seminar

Thursday, January 27, 2022 - 5:15pm

Yi Lai

Stanford University


University of Pennsylvania

via Zoom

The Zoom link for this talk is available via e-mail from After the talk, we will stay online for a while to socialize.

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 operators. We show that these solitons are non-collapsed.