Zilu Ma

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math.DG2025

Local singularities of compact multiply warped Ricci flow solutions

James Isenberg, Dan Knopf, Zilu Ma +1

We demonstrate that any four-dimensional shrinking Ricci soliton $(B \times S^{2}, g)$ , where $B$ is any two-dimensional complete noncompact surface and $…

math.DG2023

Unique Asymptotics of Steady Ricci Solitons with Symmetry

Zilu Ma, Hamidreza Mahmoudian, Natasa Sesum

In this paper we study 4d gradient steady Ricci solitons, which are weak $κ$ -solutions, and admit O(3)-symmetry. Under a weak curvature decay condition, we find precise geometric a…