Isoperimetric problems and lower bounds on curvature
Gioacchino Antonelli
Published: 2025/9/23
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).