De nouvelles inégalités géométriques pour les hérissons
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We present a partial extension of the Alexandrov-Fenchel inequality to hedgehogs (envelopes parametrized by their Gauss map), and we deduce a series of geometric inequalities for hedgehogs, one of which is an inequality of Brunn-Minkowski type. Finally, we present an application to the study of the Blaschke diagram.
KeywordsPartial Extension Geometric Inequality
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