Accepted Paper

Inserted: 24 sep 2025
Last Updated: 12 may 2026

Journal: Analysis and Geometry in Metric Spaces
Year: 2025

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).