Isoperimetric problems and lower bounds on curvature
Abstract
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).
Fields of Study & Subjects
Geometric Analysis and Curvature Flows
Nonlinear Partial Differential Equations
Geometry and complex manifolds
Publication details
- Journal / source
- Analysis and Geometry in Metric Spaces
- Publisher
- Walter de Gruyter GmbH
- Volume
- 14
- Issue
- 1
- Publication date
- 1 January 2026
- Language
- EN