Stability of Hyperkähler Flow

Published 6 Jan 2026 in math.DG | (2601.03092v1)

Abstract: 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 $C^1$ dynamic stability theorem of the mean curvature flow for minimal surface. We extend their results and obtain a similar dynamic stability theorem of the hyperkähler flow.

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Kuan-Hui Lee

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