The Kakeya problem for circular arcs
Metric Geometry
2018-02-02 v1 Classical Analysis and ODEs
Abstract
We prove that if a circular arc has angle short enough, then it can be continuously moved to any prescribed position within a set of arbitrarily small area.
Cite
@article{arxiv.1802.00290,
title = {The Kakeya problem for circular arcs},
author = {Kornélia Héra and Miklós Laczkovich},
journal= {arXiv preprint arXiv:1802.00290},
year = {2018}
}