Uniform waist inequalities in codimension two for manifolds with Kazhdan fundamental group
Differential Geometry
2024-09-24 v2 Group Theory
Metric Geometry
Abstract
Let M be a closed Riemannian manifold with Kazhdan fundamental group. It is well known that the Cheeger inequality yields a uniform waist inequality in codimension one for the finite covers of M. We show that the finite covers of M also satisfy a uniform waist inequality in codimension two.
Cite
@article{arxiv.2407.19783,
title = {Uniform waist inequalities in codimension two for manifolds with Kazhdan fundamental group},
author = {Uri Bader and Roman Sauer},
journal= {arXiv preprint arXiv:2407.19783},
year = {2024}
}
Comments
updated introduction; 14 pages