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

Uri Bader; Roman Sauer

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arXiv · 2407.19783

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

Uri Bader·Roman Sauer

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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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Uri Bader, Roman Sauer. 2024-07-29. Uniform waist inequalities in codimension two for manifolds with Kazhdan fundamental group. https://arxiv.org/abs/2407.19783

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