Isoperimetric profile function comparisons with integral Ricci curvature bounds

We prove comparison results for the Isoperimetric profile function in the setting of manifolds with L p L^{p} integral bounds on the Ricci curvature. We extend previous work of Ni and Wang and Bayle and Rosales under the usual pointwise bounds for the Ricci curvature.

Authors

Publication Details

Journal
Proceedings of the American Mathematical Society
Published
2026-10-07
DOI
https://doi.org/10.1090/proc/17205
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Isoperimetric profile function comparisons with integral Ricci curvature bounds

Fabio Ricci
Proceedings of the American Mathematical Society
Geometric Analysis and Curvature Flows
article

Isoperimetric profile function comparisons with integral Ricci curvature bounds

Fabio Ricci
article en

Abstract

We prove comparison results for the Isoperimetric profile function in the setting of manifolds with L p L^{p} integral bounds on the Ricci curvature. We extend previous work of Ni and Wang and Bayle and Rosales under the usual pointwise bounds for the Ricci curvature.

Proceedings of the American Mathematical Society
Openalex Percentile: Top 99%
Geometric Analysis and Curvature Flows
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Isoperimetric profile function comparisons with integral Ricci curvature bounds — Fabio Ricci · Proceedings of the American Mathematical Society (2026) | TGRS Research Map | TGRS