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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Seminar on Cheeger-Colding theory, Ricci flow, Einstein metrics, and Related Topics
Yi Lai
UC Berkeley
A family of 3-dimensional steady gradient Ricci 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 $\mathbb{Z}_2 \times O(n − 1)$-symmetric but non-rotationally symmetric n-dimensional steady gradient solitons with positive curvature operator. We show that these solitons are non-collapsed.
Host: Bennett Chow
March 24, 2021
7:00 PM
Email bechow@ucsd.edu for Zoom information.
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