A note on the convex body isoperimetric conjecture in the plane
Differential Geometry
2021-04-13 v1
Abstract
The convex body isoperimetric conjecture in the plane asserts that the least perimeter to enclose given area inside a unit disk is greater than inside any other convex set of area . In this note we confirm two cases of the conjecture: domains symmetric to both coordinate axes and perturbations of unit disk.
Cite
@article{arxiv.2104.04954,
title = {A note on the convex body isoperimetric conjecture in the plane},
author = {Bo-Hshiung Wang and Ye-Kai Wang},
journal= {arXiv preprint arXiv:2104.04954},
year = {2021}
}
Comments
4 figures