Isoperimetry by stretching
Differential Geometry
2026-03-16 v1
Abstract
We construct isoperimetric regions from separating hypersurfaces in closed manifolds. This yields isoperimetric boundaries exhibiting a wide variety of topological types and singular sets.
Cite
@article{arxiv.2603.12363,
title = {Isoperimetry by stretching},
author = {Kobe Marshall-Stevens and Gongping Niu},
journal= {arXiv preprint arXiv:2603.12363},
year = {2026}
}
Comments
10 pages, 1 figure