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arXiv:1111.3400 [math.DS]AbstractReferencesReviewsResources

Cocycles with one exponent over partially hyperbolic systems

Boris Kalinin, Victoria Sadovskaya

Published 2011-11-15, updated 2012-09-09Version 2

We consider Holder 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 quasiconformal distortion from the periodic data.

Comments: Theorem 3.4 corrected; Corollary 3.8, Theorem 3.9, and Example 4.6 added
Categories: math.DS
Subjects: 37D30, 37D20, 37H15, 34C20, 37C15
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