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- W4287062964 abstract "In this paper, we study a reverse isoperimetric inequality for planar convex bodies whose radius of curvature is between two positive numbers 0 < $alpha$ < $beta$, called ($alpha$, $beta$)--convex bodies. We show that among planar ($alpha$, $beta$)--convex bodies of fixed perimeter, the extremal shape is a domain whose boundary is composed by two arcs of circles of radius $alpha$ joined by two arcs of circles of radius $beta$." @default.
- W4287062964 created "2022-07-25" @default.
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- W4287062964 date "2021-07-30" @default.
- W4287062964 modified "2023-09-27" @default.
- W4287062964 title "A reverse isoperimetric inequality for planar ($alpha$, $beta$)--convex bodies" @default.
- W4287062964 doi "https://doi.org/10.48550/arxiv.2107.14455" @default.
- W4287062964 hasPublicationYear "2021" @default.
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