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On planar convex bodies of given Minkowskian thickness and least possible area

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Abstract.

Assume that the width of a planar convex body K at every direction u is not less than the width of a fixed centrally symmetric body B at the direction u. We present a precise description of those bodies K given above that have least possible area.

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Authors and Affiliations

  1. Faculty of Mathematics, University of Technology, D-09107, Chemnitz, Germany

    Gennadiy Averkov

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  1. Gennadiy Averkov
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Correspondence to Gennadiy Averkov.

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Received: 6 November 2003

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Averkov, G. On planar convex bodies of given Minkowskian thickness and least possible area. Arch. Math. 84, 183–192 (2005). https://doi.org/10.1007/s00013-004-1152-6

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  • DOI: https://doi.org/10.1007/s00013-004-1152-6

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