An improved lower bound for star-shaped Kakeya sets
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866917547911151616 |
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| author | Li, Shaoqi |
| author_facet | Li, Shaoqi |
| contents | In 1971, Cunningham proved that every star-shaped Kakeya set $E\subset\mathbb{R}^2$ satisfies $|E| \geq π/108$. In this paper, we show that Cunningham's bound is not optimal and can be improved to $|E| \geq π/98$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_05711 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An improved lower bound for star-shaped Kakeya sets Li, Shaoqi Metric Geometry Classical Analysis and ODEs In 1971, Cunningham proved that every star-shaped Kakeya set $E\subset\mathbb{R}^2$ satisfies $|E| \geq π/108$. In this paper, we show that Cunningham's bound is not optimal and can be improved to $|E| \geq π/98$. |
| title | An improved lower bound for star-shaped Kakeya sets |
| topic | Metric Geometry Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2509.05711 |