Isoperimetric problems and lower bounds on curvature
arXiv:2509.18618
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).
v2: 1 figure, 39 pages. Final version, accepted in Anal. Geom. Metr. Spaces