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On Young hulls of convex curves in ℝ2n

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Abstract

For a convex curve in an even-dimensional affine space we introduce a series of convex domains (called Young hulls) describe their structure and give a formulas for the volume of the biggest of these domains.

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Authors and Affiliations

  1. Dept. of Mathematics, University of Technology „Stankin“, 101472, Moscow, Russia

    Vyacheslav Sedykh

  2. Dept. of Mathematics, University of Stockholm, S-10691, Sweden

    Boris Shapiro

Authors
  1. Vyacheslav Sedykh
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  2. Boris Shapiro
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To our Teacher Vladimir Igorevich Arnold on the occasion of his 60-th birthday

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Sedykh, V., Shapiro, B. On Young hulls of convex curves in ℝ2n . J Geom 63, 168–182 (1998). https://doi.org/10.1007/BF01221247

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  • DOI: https://doi.org/10.1007/BF01221247

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