Periodic cycle functionals and cocycle rigidity for certain partially hyperbolic Rk actions

被引：0

作者：

Damjanovic, D

Katok, A

机构：

[1] Erwin Schroedinger Inst, A-1090 Vienna, Austria

[2] Penn State Univ, University Pk, PA 16802 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2005年 / 13卷 / 04期

关键词：

cocycles; rigidity; Weyl chamber flow; partial hyperbolicity;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a proof of cocycle rigidity in Holder and smooth categories for Cartan actions on SL(n,R)/F and SL(n,(C)/F for n >= 3 and Gamma cocompact lattice, and for restrictions of those actions to subspaces which contain a two-dimensional plane in general position. This proof does not use harmonic analysis, it relies completely on the structure of stable and unstable foliations of the action. The key new ingredient is the use of the description of generating relations in the group SLn.

引用

页码：985 / 1005

页数：21

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