Generic regularity of isoperimetric regions in dimension eight
Differential Geometry
2025-11-07 v1 Analysis of PDEs
Abstract
We establish generic regularity results for isoperimetric regions in closed Riemannian manifolds of dimension eight. In particular, we show that every isoperimetric region has a smooth nondegenerate boundary for a generic choice of smooth metric and enclosed volume, or for a fixed enclosed volume and a generic choice of smooth metric.
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Cite
@article{arxiv.2511.03795,
title = {Generic regularity of isoperimetric regions in dimension eight},
author = {Kobe Marshall-Stevens and Gongping Niu and Davide Parise},
journal= {arXiv preprint arXiv:2511.03795},
year = {2025}
}
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58 pages, 0 figures