Regularity of foliations and Lyapunov exponents of partially hyperbolic dynamics

Fernando Micena, Ali Tahzibi

Published 2012-03-01Version 1

In this work we study relations between regularity of invariant foliations and Lyapunov exponents of partially hyperbolic diffeomorphisms. We suggest a new regularity condition for foliations in terms of desintegration of Lebesgue measure which can be considered as a criterium for rigidity of Lyapunov exponents.