Unique Asymptotics of Steady Ricci Solitons with Symmetry
Abstract
In this paper we study 4d gradient steady Ricci solitons, which are weak -solutions, and admit O(3)-symmetry. Under a weak curvature decay condition, we find precise geometric asymptotics of such solitons, which are similar to those for 3d compact -solutions found in [ABDS22]. This is the first step towards the classification of 4d gradient steady Ricci solitons and more general ancient Ricci flows.
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