Isoperimetric problems and lower bounds on curvature
Differential Geometry
2025-09-24 v1
Abstract
This note surveys some classical results and recent developments on the interplay between lower curvature bounds and the isoperimetric problem. It is based on mini-courses given at the European Doctorate School of Differential Geometry (Granada, July 2024) and the summer school Optimal transport, heat flow and synthetic Ricci bounds (Chicago, June 2025).
Cite
@article{arxiv.2509.18618,
title = {Isoperimetric problems and lower bounds on curvature},
author = {Gioacchino Antonelli},
journal= {arXiv preprint arXiv:2509.18618},
year = {2025}
}
Comments
1 figure, 38 pages. Comments are very welcome!