Rigidity of Fiber Bunched Cocycles

Abstract

We prove a rigidity theorem for fiber bunched matrix-valued Holder cocycles over hyperbolic homeomorphisms. More precisely, we show that two such cocycles are cohomologous if and only if they have conjugated periodic data.

Some corrections to the previous version were made

References in corpus (2)

• Cohomology of fiber bunched cocycles over hyperbolic systems
• Cohomology of Dominated Diffeomorphism-Valued Cocycles Over Hyperbolic Systems

Cited by in corpus (5)

• On the periodic approximation of Lyapunov exponents for semi-invertible cocycles
• A Livšic theorem for matrix cocycles over non-uniformly hyperbolic systems
• Periodic approximation of Oseledets subspaces for semi-invertible cocycles
• Fiber bunching and cohomology for Banach cocycles over hyperbolic systems
• Cohomology of fiber-bunched twisted cocycles over hyperbolic systems