Ergodic properties of Gibbs measures on nilpotent covers

被引:4
|
作者
Hamenstädt, U [1 ]
机构
[1] Univ Bonn, Math Inst, D-53115 Bonn, Germany
关键词
D O I
10.1017/S0143385702000603
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let M = (M) over bar/Gamma be a closed negatively curved manifold with universal covering M and fundamental group Gamma. Every Gibbs equilibrium state v of a Holder continuous function on the unit tangent bundle (TM)-M-1 of M projects to a Gamma-invariant ergodic measure class mc(v(+)) on the ideal boundary partial derivative(M) over tilde of (M) over tilde. We show that this measure class is also ergodic under the action of any normal subgroup Gamma' of Gamma for which the factor group Gamma/Gamma' is nilpotent.
引用
收藏
页码:1169 / 1179
页数:11
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