On Berger's Isoperimetric Problem
Differential Geometry
2025-06-09 v1 Spectral Theory
Abstract
Berger's isoperimetric problem asks if the flat equilateral torus is -maximal. In 1996, Nadirashvili first gave a positive answer. In this paper, we use El Soufi-Ilias-Ros's method and Bryant's result (arXiv:1507.01485) to give a new proof.
Cite
@article{arxiv.2506.05775,
title = {On Berger's Isoperimetric Problem},
author = {Fan Kang},
journal= {arXiv preprint arXiv:2506.05775},
year = {2025}
}
Comments
to appear in Comptes Rendus Math\'ematique