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arXiv · 2509.18618

Isoperimetric problems and lower bounds on curvature

Gioacchino Antonelli
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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).

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Gioacchino Antonelli. 2026-07-18. Isoperimetric problems and lower bounds on curvature. https://arxiv.org/abs/2509.18618

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