Minimal Volume Product of Three Dimensional Convex Bodies with Various Discrete Symmetries

被引：0
作者：
Hiroshi Iriyeh
Masataka Shibata
机构：
[1] Ibaraki University,Graduate School of Science and Engineering
[2] Meijo University,Department of Mathematics
来源：
Discrete & Computational Geometry | 2022年 / 68卷
关键词：
Convex body; Volume product; Minimizing problem; Mahler conjecture; 52A40; 52A38;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We give the sharp lower bound of the volume product of three dimensional convex bodies which are invariant under a discrete subgroup of O(3) in several cases. We also characterize the convex bodies with the minimal volume product in each case. In particular, this provides a new partial result of the non-symmetric version of Mahler’s conjecture in the three dimensional case.
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页码：738 / 773
页数：35
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