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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Zonoids with minimal volume-product--a new proof


Authors: Y. Gordon, M. Meyer and S. Reisner
Journal: Proc. Amer. Math. Soc. 104 (1988), 273-276
MSC: Primary 52A40; Secondary 52A20
MathSciNet review: 958082
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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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DOI: http://dx.doi.org/10.1090/S0002-9939-1988-0958082-9
PII: S 0002-9939(1988)0958082-9
Article copyright: © Copyright 1988 American Mathematical Society