English

Isoperimetric profile function comparisons with Integral Ricci curvature bounds

Differential Geometry 2024-03-26 v1

Abstract

We prove comparison results for the Isoperimetric profile function in the setting of manifolds with integral bounds on the Ricci curvature. We extend previous work of Ni and Wang and Bayle and Rosales under the usual pointwise bounds for the Ricci curvature.

Keywords

Cite

@article{arxiv.2403.15973,
  title  = {Isoperimetric profile function comparisons with Integral Ricci curvature bounds},
  author = {Jihye Lee and Fabio Ricci},
  journal= {arXiv preprint arXiv:2403.15973},
  year   = {2024}
}
R2 v1 2026-06-28T15:31:18.972Z