DOI QR코드

DOI QR Code

ORIGIN-SYMMETRIC CONVEX BODIES WITH MINIMAL MAHLER VOLUME IN ℝ2

  • Lin, Youjiang ;
  • Leng, Gangsong
  • Received : 2012.11.22
  • Published : 2014.01.31

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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