Calculus of Variations and Geometric Measure Theory

G. Antonelli

Isoperimetric problems and lower bounds on curvature

created by antonelli on 24 Sep 2025

[BibTeX]

preprint

Inserted: 24 sep 2025

Year: 2025

ArXiv: 2509.18618 PDF

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).