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math.DG2026
Stability of Hyperkähler Flow
Kuan-Hui Lee
In this work, we discuss the stability of Donaldson's flow of surfaces in a hyperkähler 4-manifold. In \cite{WT2}, Wang and Tsai proved a uniqueness theorem and dynamic stabi…
math.DG2025
Dynamical stability of Pluriclosed and Generalized Ricci solitons
Kuan-Hui Lee
In this work, we discuss the stability of the pluriclosed flow and generalized Ricci flow. We proved that if the second variation of generalized Einstein--Hilbert functional is non…