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http://dx.doi.org/10.4134/BKMS.2014.51.1.129

ORIGIN-SYMMETRIC CONVEX BODIES WITH MINIMAL MAHLER VOLUME IN ℝ2  

Lin, Youjiang (School of Mathematical Sciences Peking University, Department of Mathematics Shanghai University)
Leng, Gangsong (School of Mathematical Sciences Peking University)
Publication Information
Bulletin of the Korean Mathematical Society / v.51, no.1, 2014 , pp. 129-137 More about this Journal
Abstract
In this paper, a new proof of the following result is given: The product of the volumes of an origin-symmetric convex bodies K in $\mathbb{R}^2$ and of its polar body is minimal if and only if K is a parallelogram.
Keywords
convex body; polar body; Mahler conjecture; polytopes;
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