The non-symmetric Mahler conjecture in dimension three
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914584335482880 |
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| author | Chen, Shibing Li, Yuanyuan Xi, Dongmeng Xu, Zhefeng |
| author_facet | Chen, Shibing Li, Yuanyuan Xi, Dongmeng Xu, Zhefeng |
| contents | We prove the non-symmetric Mahler conjecture in dimension three. More precisely, we prove the sharp lower bound \[ \mathcal P(K) \geq \frac{64}{9} \] for every convex body $K \subset \mathbb R^3$, where $\mathcal P(K)$ denotes the non-symmetric volume product with respect to the Santaló point. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_09334 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The non-symmetric Mahler conjecture in dimension three Chen, Shibing Li, Yuanyuan Xi, Dongmeng Xu, Zhefeng Metric Geometry 52A40 We prove the non-symmetric Mahler conjecture in dimension three. More precisely, we prove the sharp lower bound \[ \mathcal P(K) \geq \frac{64}{9} \] for every convex body $K \subset \mathbb R^3$, where $\mathcal P(K)$ denotes the non-symmetric volume product with respect to the Santaló point. |
| title | The non-symmetric Mahler conjecture in dimension three |
| topic | Metric Geometry 52A40 |
| url | https://arxiv.org/abs/2605.09334 |