Two new proofs of partial Godbersen's Conjecture
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917684780728320 |
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| author | Cheng, Lin |
| author_facet | Cheng, Lin |
| contents | Two new proofs are provided, offering two new perspectives on Godbersen's conjecture. One of the proofs utilizes Helly's theorem to provide a concise and elegant proof of the inequality in Godbersen's conjecture. The other proof utilizes the Brunn-Minkowski inequality to provide a completely new proof of the inclusion $-K\subset nK$ for convex bodies $K$ with centroid at the origin, thereby proving Godbersen's conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_00278 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Two new proofs of partial Godbersen's Conjecture Cheng, Lin Metric Geometry Combinatorics Two new proofs are provided, offering two new perspectives on Godbersen's conjecture. One of the proofs utilizes Helly's theorem to provide a concise and elegant proof of the inequality in Godbersen's conjecture. The other proof utilizes the Brunn-Minkowski inequality to provide a completely new proof of the inclusion $-K\subset nK$ for convex bodies $K$ with centroid at the origin, thereby proving Godbersen's conjecture. |
| title | Two new proofs of partial Godbersen's Conjecture |
| topic | Metric Geometry Combinatorics |
| url | https://arxiv.org/abs/2406.00278 |