The spherical conjecture in Minkowski geometry

Author: Schürmann Achill  

Publisher: Springer Publishing Company

ISSN: 0003-889X

Source: Archiv der Mathematik, Vol.83, Iss.4, 2004-10, pp. : 381-384

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Abstract

We show that the shapes of convex bodies containing m</i> translates of a convex body K</i>, so that their Minkowskian surface area is minimum, tends for growing m</i> to a convex body L</i>.