Bull. Korean Math. Soc. 2014; 51(4): 1023-1029
Printed July 1, 2014
https://doi.org/10.4134/BKMS.2014.51.4.1023
Copyright © The Korean Mathematical Society.
Youjiang Lin and Gangsong Leng
Shanghai University, Shanghai University
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.
Keywords: convex body, polar body, parallel sections homothety bodies, Mahler conjecture, cylinder
MSC numbers: 52A10, 52A40
2014; 51(1): 129-137
2018; 55(1): 139-148
2017; 54(5): 1655-1667
2015; 52(2): 453-465
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