Uniform Waist Inequalities in Codimension Two for Manifolds with Kazhdan Fundamental Group

IF 2.2 1区数学 Q1 MATHEMATICS

Geometric and Functional Analysis Pub Date : 2026-08-26 DOI:10.1007/s00039-026-00748-y

Uri Bader, Roman Sauer

引用次数: 0

Abstract

Let

$M$

M be a closed Riemannian manifold with Kazhdan fundamental group. It is well known that the Buser-Cheeger inequality yields a uniform waist inequality in codimension 1 for the finite covers of

$M$

M , which is basically another way of saying that the finite covers form an expander family. We show that the finite covers of

$M$

M also satisfy a uniform waist inequality in codimension 2.

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具有Kazhdan基本群的余维流形的一致腰不等式

设$M$ M是一个具有Kazhdan基本群的闭黎曼流形。众所周知，对于$M$ M的有限覆盖，Buser-Cheeger不等式在余维数1上产生一个一致的腰不等式，这基本上是有限覆盖形成扩展族的另一种说法。我们证明了$M$ M的有限覆盖在余维数2上也满足一致腰不等式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Geometric and Functional Analysis 数学-数学

CiteScore

3.70

自引率

4.50%

发文量

审稿时长

6-12 weeks

期刊介绍： Geometric And Functional Analysis (GAFA) publishes original research papers of the highest quality on a broad range of mathematical topics related to geometry and analysis. GAFA scored in Scopus as best journal in "Geometry and Topology" since 2014 and as best journal in "Analysis" since 2016. Publishes major results on topics in geometry and analysis. Features papers which make connections between relevant fields and their applications to other areas.