An improved lower bound for star-shaped Kakeya sets

Annales Fennici Mathematici 2026 Open access

Read full text
Authors: Sanbai Li
DOI: 10.54330/afm.185132
Cited by: 0

Abstract

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 \(|E| \geq \pi/98\).

Fields of Study & Subjects

Hedgehog Signaling Pathway Studies

Publication details

Journal / source
Annales Fennici Mathematici
Volume
51
Issue
1
Pages
377–392
Publication date
29 May 2026
Language
EN