In this note we prove a localized form of Alexandrov--Fenchel inequality for convex bodies, i.e. we prove a class of isoperimetric inequalities in a ball involving Federer curvature measures.
F. Ferrari, B. Franchi, G. Lu (2006). On a relative Alexandrov-Fenchel inequalitiy for convex bodies in Euclidean spaces. FORUM MATHEMATICUM, 18, 907-921 [10.1515/FORUM.2006.045].
On a relative Alexandrov-Fenchel inequalitiy for convex bodies in Euclidean spaces
FERRARI, FAUSTO;FRANCHI, BRUNO;
2006
Abstract
In this note we prove a localized form of Alexandrov--Fenchel inequality for convex bodies, i.e. we prove a class of isoperimetric inequalities in a ball involving Federer curvature measures.File in questo prodotto:
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