A well-known result in convex geometry proved by Favard states that among all convex plane sets of given perimeter and area, the symmetric lens is the unique element of maximum circumradius. In this note a new proof of Favard’s theorem is exhibited and possible extensions in higher dimensions are discussed.
Campi, S. (2005). Three dimensional Bonnesen type inequalities. LE MATEMATICHE, 60(2), 425-431.
Three dimensional Bonnesen type inequalities
CAMPI, STEFANO
2005-01-01
Abstract
A well-known result in convex geometry proved by Favard states that among all convex plane sets of given perimeter and area, the symmetric lens is the unique element of maximum circumradius. In this note a new proof of Favard’s theorem is exhibited and possible extensions in higher dimensions are discussed.
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https://hdl.handle.net/11365/6816