Minimal volume product of three dimensional convex bodies invariant under certain groups of order four
| Autor: | Iriyeh, Hiroshi, Shibata, Masataka |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We give the sharp lower bound of the volume product of three dimensional convex bodies which are invariant under two kinds of discrete subgroups of $O(3)$ of order four. We also characterize the convex bodies with the minimal volume product in each case. This provides new partial results of the non-symmetric version of Mahler's conjecture in the three dimensional case. Comment: 35 pages |
| Databáze: | arXiv |
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