Rigidity of partially hyperbolic actions of property (T) groups

被引：0

作者：

Török, A

机构：

[1] Univ Houston, Dept Math, Houston, TX 77204 USA

[2] Romanian Acad, Inst Math, RO-70700 Bucharest, Romania

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2003年 / 9卷 / 01期

关键词：

Kazdahn's property (T); partially hyperbolic actions; local rigidity; ergodicity; invariant foliations; invariant volume; higher rank lattices;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that volume-preserving perturbations of some product actions of property (T) groups exhibit a "foliation rigidity" property, which reduces the partially hyperbolic action to a family of hyperbolic actions. This is used to show that certain partially hyperbolic actions are locally rigid.

引用

页码：193 / 208

页数：16

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