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arXiv · 2311.09405

Unique Asymptotics of Steady Ricci Solitons with Symmetry

Zilu Ma·Hamidreza Mahmoudian·Natasa Sesum
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Abstract

In this paper we study 4d gradient steady Ricci solitons, which are weak $\kappa$-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 $\kappa$-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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Zilu Ma, Hamidreza Mahmoudian, Natasa Sesum. 2023-11-15. Unique Asymptotics of Steady Ricci Solitons with Symmetry. https://arxiv.org/abs/2311.09405

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