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- W2964184428 abstract "In this note we use the strong maximum principle and integral estimates prove two results on minimal hypersurfaces F : M n → R n + 1 with free boundary on the standard unit sphere. First we show that if F is graphical with respect to any Killing field, then F ( M n ) is a flat disk. This result is independent of the topology or number or boundaries. Second, if M n = D n is a disk, we show the supremum of the curvature squared on the interior is bounded below by n times the infimum of the curvature on the boundary. These may be combined the give an impression of the curvature of non-flat minimal hyperdisks with free boundary." @default.
- W2964184428 created "2019-07-30" @default.
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- W2964184428 date "2019-02-01" @default.
- W2964184428 modified "2023-10-18" @default.
- W2964184428 title "Minimal hypersurfaces in the ball with free boundary" @default.
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- W2964184428 doi "https://doi.org/10.1016/j.difgeo.2018.10.001" @default.
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