English

In orbifolds, small isoperimetric regions are small balls

Metric Geometry 2008-06-28 v2 Differential Geometry

Abstract

In a compact orbifold, for small prescribed volume, an isoperimetric region is close to a small metric ball; in a Euclidean orbifold, it is a small metric ball.

Keywords

Cite

@article{arxiv.math/0612744,
  title  = {In orbifolds, small isoperimetric regions are small balls},
  author = {Frank Morgan},
  journal= {arXiv preprint arXiv:math/0612744},
  year   = {2008}
}

Comments

8 pages, final version to appear in Proc. Amer. Math. Soc

R2 v1 2026-07-22T17:48:23.142Z