Local rigidity of certain partially hyperbolic actions of product type

被引：0
作者：
Nitica, V [1 ]
Török, A [1 ]
机构：
[1] Romanian Acad, Inst Math, RO-70700 Bucharest, Romania
来源：
ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2001年 / 21卷
关键词：
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove certain rigidity properties of higher-rank abelian product actions of the type alpha x Id(N) : Z(K) --> Diff(M x N), where alpha is (TNS) (i.e. is hyperbolic and has some special structure of its stable distributions). Together with a result about product actions of property (T) groups, this implies the local rigidity of higher-rank lattice actions of the form alpha x Id(T) : Gamma --> Diff(M x T), provided alpha has some rigidity properties itself, and contains a (TNS) subaction.
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页码：1213 / 1237
页数：25
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