This talk will be about ergodic theory of foliations. Foliations rarely have transverse invariant measures. When the leaves of a foliation are negatively curved (which is generally the case for 2-dimensional foliations) the foliated geodesic flow (i.e. the geodesic flow tangent to the leaves) exhibits a weak form of hyperbolicity called foliated hyperbolicity, which resembles partial hyperbolicity but is of different nature (the hyperbolicity along the leaves is not supposed to be dominated by the transverse dynamics). We will study the ergodic properties of this flow: transverse Lyapunov exponents, transverse metric entropy, physical measures, and talk about our results obtained jointly with Jiagang Yang.