Isoperimetric problems and lower bounds on curvature

Fuente: arXiv
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Autor principal: Antonelli, Gioacchino
Formato: Preprint
Publicado: 2025
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author Antonelli, Gioacchino
author_facet Antonelli, Gioacchino
contents 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).
format Preprint
id arxiv_https___arxiv_org_abs_2509_18618
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Isoperimetric problems and lower bounds on curvature
Antonelli, Gioacchino
Differential Geometry
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).
title Isoperimetric problems and lower bounds on curvature
topic Differential Geometry
url https://arxiv.org/abs/2509.18618