Archiv der Mathematik

, Volume 72, Issue 6, pp 444–453 | Cite as

De nouvelles inégalités géométriques pour les hérissons

  • Yves Martinez-Maure


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.


Partial Extension Geometric Inequality 


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Copyright information

© Birkhäuser Verlag, Basel 1999

Authors and Affiliations

  • Yves Martinez-Maure
    • 1
  1. 1.1, rue Auguste Perret, F-92500 Rueil-Malmaison, FranceFrance

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