Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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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)
  • Received : 2012.11.22
  • Published : 2014.01.31
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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.

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References

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