Startseite On a relative Alexandrov-Fenchel inequality for convex bodies in Euclidean spaces
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On a relative Alexandrov-Fenchel inequality for convex bodies in Euclidean spaces

  • Fausto Ferrari EMAIL logo , Bruno Franchi und Guozhen Lu
Veröffentlicht/Copyright: 27. Februar 2007
Forum Mathematicum
Aus der Zeitschrift Band 18 Heft 6

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.


(Communicated by Giorgio Talenti)


Received: 2004-11-22
Revised: 2005-03-09
Published Online: 2007-02-27
Published in Print: 2006-11-20

© Walter de Gruyter

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