%0 Journal Article %T Regularity of foliations and Lyapunov exponents of partially hyperbolic dynamics %A Fernando Micena %A Ali Tahzibi %J Mathematics %D 2012 %I arXiv %R 10.1088/0951-7715/26/4/1071 %X 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. %U http://arxiv.org/abs/1203.0142v1