Cocycles with one exponent over partially hyperbolic systems

被引：0
|
作者：
Boris Kalinin
Victoria Sadovskaya
机构：
[1] The Pennsylvania State University,Department of Mathematics
来源：
Geometriae Dedicata | 2013年 / 167卷
关键词：
Linear cocycle; Lyapunov exponent; Partially hyperbolic system; Amenable reduction; 37D30; 37D20; 37H15; 34C20; 37C15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider Hölder continuous linear cocycles over partially hyperbolic diffeomorphisms. For fiber bunched cocycles with one Lyapunov exponent we show continuity of measurable invariant conformal structures and sub-bundles. Further, we establish a continuous version of Zimmer’s Amenable Reduction Theorem. For cocycles over hyperbolic systems we also obtain polynomial growth estimates for the norm and the quasiconformal distortion from the periodic data.
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收藏
页码：167 / 188
页数：21
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