Uniform waist inequalities in codimension two for manifolds with Kazhdan fundamental group

2024/07/29 by Uri Bader, Roman Sauer, Bader, Uri +1 · 2 citations
#math.DG #math.GR #math.MG

paper · pdf · doi:10.48550/arxiv.2407.19783

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.

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