具有卡兹丹基群流形的二维均匀腰不等式

arXiv - MATH - Metric Geometry Pub Date : 2024-07-29 DOI:arxiv-2407.19783

Uri Bader, Roman Sauer

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引用次数: 0

摘要

设 M 是具有卡氏基本群的封闭黎曼流形。众所周知，Cheeger 不等式产生了 M 的有限盖在标度一中的均匀腰不等式。

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

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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arXiv - MATH - Metric Geometry

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