Waist inequality for 3-manifolds with positive scalar curvature
Differential Geometry
2023-01-18 v4 Metric Geometry
Abstract
We construct singular foliations of compact three-manifolds with scalar curvature by surfaces of controlled area, diameter and genus. This extends Urysohn and waist inequalities of Gromov-Lawson and Marques-Neves.
Keywords
Cite
@article{arxiv.2012.12478,
title = {Waist inequality for 3-manifolds with positive scalar curvature},
author = {Yevgeny Liokumovich and Davi Maximo},
journal= {arXiv preprint arXiv:2012.12478},
year = {2023}
}
Comments
Updated version; improved bounds