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math.DG2026
Global Convergence of the Gursky-Malchiodi -curvature Flow
Liuwei Gong, Sanghoon Lee, Juncheng Wei
In their seminal work, Gursky and Malchiodi introduced a non-local conformal flow in dimensions to resolve the constant -curvature problem. They proved sequential con…
math.DG2025
Rigidity of Poincaré-Einstein manifolds with flat Euclidean conformal infinity
Sanghoon Lee, Fang Wang
In this paper, we prove a rigidity theorem for Poincaré-Einstein manifolds whose conformal infinity is a flat Euclidean space. The proof relies on analyzing the propagation of cur…
math.DG2024
Type-I Blowup Solutions for Yang-Mills Flow
Jaehwan Kim, Sanghoon Lee
In this paper, we construct an infinite-dimensional family of solutions for the Yang-Mills flow on for , which converge to -equi…