C1 actions on manifolds by lattices in Lie groups

被引：3

作者：

Brown, Aaron ^{[1
]}

Damjanovic, Danijela ^{[2
]}

Zhang, Zhiyuan ^{[3
]}

机构：

[1] Northwestern Univ, Evanston, IL 60208 USA

[2] Kungliga Tekniska Hogskolan, Dept Math, Lindstedtsvagen 25, SE-10044 Stockholm, Sweden

[3] Univ Paris 13, Inst Galilee, CNRS, UMR 7539, F-93430 Villetaneuse, France

来源：

COMPOSITIO MATHEMATICA | 2022年 / 158卷 / 03期

关键词：

METRIC ENTROPY; RIGIDITY; DIFFEOMORPHISMS; DISTORTION;

D O I：

10.1112/S0010437X22007278

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study Zimmer's conjecture for C-1 actions of lattice subgroup of a higher-rank simple Lie group with finite center on compact manifolds. We show that when the rank of an uniform lattice is larger than the dimension of the manifold, then the action factors through a finite group. For lattices in SL(n, R), the dimensional bound is sharp.

引用

页码：529 / 549

页数：22

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