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De nouvelles inégalités géométriques pour les hérissons

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Abstract.

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.

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  1. 1, rue Auguste Perret, F-92500 Rueil-Malmaison, France, France

    Yves Martinez-Maure

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  1. Yves Martinez-Maure
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Received: 30.7.1997; new version received 16.2.1998.

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Martinez-Maure, Y. De nouvelles inégalités géométriques pour les hérissons. Arch. Math. 72, 444–453 (1999). https://doi.org/10.1007/s000130050354

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  • DOI: https://doi.org/10.1007/s000130050354

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