Fibrés normaux d'immersions en dimension double, points doubles d'immersions lagrangiennes et plongements totalement réels.
We define the notion of CR equivalence for Levi-flat foliations and compare in a local setting these foliations to their linear parts. We study also the situation where the foliation has a first integral ; a condition is given so that this integral is the real part of a holomorphic function.