Bulletin of the Korean Mathematical Society (대한수학회보)

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PARALLEL SECTIONS HOMOTHETY BODIES WITH MINIMAL MAHLER VOLUME IN ℝn

  • Lin, Youjiang (School of Mathematical Sciences Peking University, Department of Mathematics Shanghai University) ;
  • Leng, Gangsong (Department of Mathematics Shanghai University)
  • Received : 2013.08.06
  • Published : 2014.07.31
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Abstract

In the paper, we define a class of convex bodies in $\mathbb{R}^n$-parallel sections homothety bodies, and for some special parallel sections homothety bodies, we prove that n-cubes have the minimal Mahler volume.

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References

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