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Bibliographic Details
Main Authors: Marshall-Stevens, Kobe, Niu, Gongping, Parise, Davide
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2511.03795
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Table of Contents:
  • 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.