O(2)-symmetry of 3D steady gradient Ricci solitons
Yi Lai (Stanford University)
Abstract: 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 to a sector and hence a flying wing. We show that all 3D flying wings are O(2)-symmetric. Therefore, all 3D steady gradient Ricci solitons are O(2)-symmetric.
differential geometry
Audience: researchers in the topic
Virtual seminar on geometry with symmetries
Series comments: Description: Research seminar in Lie group actions in Riemannian geometry.
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Organizers: | Fernando Galaz-GarcĂa*, Carolyn Gordon, Ramiro Lafuente*, Emilio Lauret* |
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