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

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arxiv 2407.19783 v3 pith:TCPLPDYR submitted 2024-07-29 math.DG math.GRmath.MG

Uri Bader , Roman Sauer This is my paper · ORCID
classification math.DGmath.GRmath.MG
keywords codimensioninequalityuniformwaistcoversfinitefundamentalgroup
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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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  1. Minimal Submanifolds and Waists of Locally Symmetric Spaces

    math.DG 2024-12 conditional novelty 8.0 of 10

    The paper proves a linear volume lower bound for codimension two minimal submanifolds of compact octonionic hyperbolic manifolds, yielding linear waists, systolic freedom, and new lattice fixed point theorems.

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