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- W4287979254 abstract "In this work we show that $2$-dimensional, simply connected, translating solitons of the mean curvature flow embedded in a slab of $mathbb{R}^3$ with entropy strictly less than $3$ must be mean convex and thus, thanks to a result by J. Spruck and L. Xiao, are convex. Recently, such $2$-dimensional convex translating solitons have been completely classified by Hoffman, Ilmanen, Mart'in and White, up to an ambient isometry, as vertical plane, (tilted) grim reaper cylinders, $Delta$-wings and bowl translater. These are all contained in a slab, except for the rotationally symmetric bowl translater. New examples show that the bound on the entropy is necessary." @default.
- W4287979254 created "2022-07-26" @default.
- W4287979254 creator A5067670829 @default.
- W4287979254 date "2019-12-28" @default.
- W4287979254 modified "2023-10-16" @default.
- W4287979254 title "Simply connected translating solitons contained in slabs" @default.
- W4287979254 doi "https://doi.org/10.48550/arxiv.1912.12426" @default.
- W4287979254 hasPublicationYear "2019" @default.
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