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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Zonoids with minimal volume-product—a new proof
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by Y. Gordon, M. Meyer and S. Reisner PDF
Proc. Amer. Math. Soc. 104 (1988), 273-276 Request permission

Abstract:

A new and simple proof of the following result is given: The product of the volumes of a symmetric zonoid $A$ in ${{\mathbf {R}}^n}$ and of its polar body is minimal if and only if $A$ is the Minkowski sum of $n$ segments.
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Additional Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 104 (1988), 273-276
  • MSC: Primary 52A40; Secondary 52A20
  • DOI: https://doi.org/10.1090/S0002-9939-1988-0958082-9
  • MathSciNet review: 958082