Stability of Hyperk\"ahler Flow
Differential Geometry
2026-01-07 v1
Abstract
In this work, we discuss the stability of Donaldson's flow of surfaces in a hyperk\"ahler 4-manifold. In \cite{WT2}, Wang and Tsai proved a uniqueness theorem and dynamic stability theorem of the mean curvature flow for minimal surface. We extend their results and obtain a similar dynamic stability theorem of the hyperk\"ahler flow.
Cite
@article{arxiv.2601.03092,
title = {Stability of Hyperk\"ahler Flow},
author = {Kuan-Hui Lee},
journal= {arXiv preprint arXiv:2601.03092},
year = {2026}
}