Cohomology of Dominated Diffeomorphism-Valued Cocycles Over Hyperbolic   Systems
  We prove a rigidity theorem for dominated H\"{o}lder cocycles with values on diffeomorphism groups of a compact manifold over hyperbolic homeomorphisms. More precisely, we show that if two such cocycles have equal periodic data, then they are cohomologous. 
Lucas H. Backes and Alejandro Kocsard
math.DS