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- W4318719526 abstract "We prove that topological disks with positive curvature and strictly convex boundary of large length are close to round spherical caps of constant boundary curvature in the Gromov-Hausdorff sense. This proves stability for a theorem of F. Hang and X. Wang, and can be viewed as an affirmative answer to a convex stability version of the Min-Oo Conjecture in dimension two. As an intermediate step, we obtain a compactness result for a Liouville-type PDE problem." @default.
- W4318719526 created "2023-02-01" @default.
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- W4318719526 date "2023-01-30" @default.
- W4318719526 modified "2023-10-09" @default.
- W4318719526 title "Stability of Convex Disks" @default.
- W4318719526 doi "https://doi.org/10.48550/arxiv.2301.13130" @default.
- W4318719526 hasPublicationYear "2023" @default.
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