Linear programming bounds in homogeneous spaces, I: Optimal packing density
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918038227386368 |
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| author | Wackenhuth, Maximilian |
| author_facet | Wackenhuth, Maximilian |
| contents | In this article we obtain linear programming bounds for the maximal sphere packing density of commutative spaces. A special case of our results solves a conjecture by Cohn and Zhao on linear programming bounds for sphere packings in hyperbolic space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_23572 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Linear programming bounds in homogeneous spaces, I: Optimal packing density Wackenhuth, Maximilian Metric Geometry Group Theory Probability In this article we obtain linear programming bounds for the maximal sphere packing density of commutative spaces. A special case of our results solves a conjecture by Cohn and Zhao on linear programming bounds for sphere packings in hyperbolic space. |
| title | Linear programming bounds in homogeneous spaces, I: Optimal packing density |
| topic | Metric Geometry Group Theory Probability |
| url | https://arxiv.org/abs/2505.23572 |