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The spherical conjecture in Minkowski geometry

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Abstract.

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

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Authors and Affiliations

  1. Institute for Algebra and Geometry, University of Magdeburg, D-39106, Magdeburg, Germany

    Achill Schürmann

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  1. Achill Schürmann
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Correspondence to Achill Schürmann.

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Received: 7 January 2002

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Schürmann, A. The spherical conjecture in Minkowski geometry. Arch. Math. 83, 381–384 (2004). https://doi.org/10.1007/s00013-004-4617-0

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  • DOI: https://doi.org/10.1007/s00013-004-4617-0

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