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math.DG2022
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.
math.DG2022★ 2 cited
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…