An improved lower bound for star-shaped Kakeya sets
In 1971, Cunningham proved that every star-shaped Kakeya set \(E\subset\mathbb{R}^2\) satisfies \(|E| \geq \pi/108\). In this paper, we show that Cunningham's bound is not optimal and can be improved to \(|E| \geq \pi/98\).
Authors
- Sanbai Li (ORCID: https://orcid.org/0000-0003-0862-7898)
Publication Details
- Journal
- Annales Fennici Mathematici
- Published
- 2026-05-29
- DOI
- https://doi.org/10.54330/afm.185132
- Primary Topic
- Hedgehog Signaling Pathway Studies
- Type
- article
- Field-Weighted Citation Impact
- 0.00