Stability of Hyperkähler Flow
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866914236394897408 |
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| author | Lee, Kuan-Hui |
| author_facet | Lee, Kuan-Hui |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_03092 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Stability of Hyperkähler Flow Lee, Kuan-Hui Differential Geometry 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. |
| title | Stability of Hyperkähler Flow |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2601.03092 |