ORIGIN-SYMMETRIC CONVEX BODIES WITH MINIMAL MAHLER VOLUME IN ℝ<sup>2</sup>

Lin, Youjiang; Leng, Gangsong

doi:10.4134/BKMS.2014.51.1.129

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ORIGIN-SYMMETRIC CONVEX BODIES WITH MINIMAL MAHLER VOLUME IN ℝ²

Journal title : Bulletin of the Korean Mathematical Society
Volume 51, Issue 1, 2014, pp.129-137
Publisher : The Korean Mathematical Society
DOI : 10.4134/BKMS.2014.51.1.129

Title & Authors

ORIGIN-SYMMETRIC CONVEX BODIES WITH MINIMAL MAHLER VOLUME IN ℝ²
Lin, Youjiang; Leng, Gangsong;

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;

Language

English

Cited by

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