6 citations · 13 across the 5 of their papers we have counts for
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3D flying wings for any asymptotic cones
Yi Lai
For every , we construct a 3D steady gradient Ricci soliton whose asymptotic cone is a sector with angle , which is a called 3D flying wing.
O(2)-symmetry of 3D steady gradient Ricci solitons
Yi Lai
For any 3D steady gradient Ricci soliton with positive curvature, we prove that it must be isometric to the Bryant soliton if it is asymptotic to a ray. Otherwise, it is asymptotic…
A family of 3d steady gradient solitons that are flying wings
Yi Lai
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 no…
Producing 3d Ricci flows with non-negative Ricci curvature via singular Ricci flows
Yi Lai
We extend the concept of singular Ricci flow by Kleiner and Lott from 3d compact manifolds to 3d complete manifolds with possibly unbounded curvature. As an application of the gene…
Ricci flow under local almost non-negative curvature conditions
Yi Lai
We find a local solution to the Ricci flow equation under a negative lower bound for many known curvature conditions. The flow exists for a uniform amount of time, during which the…