Given a "generic" foliation with 1-dimensional leaves on a closed manifold M, I would like to claim that there are no diffeomorphisms of the manifold fixing the foliation, other than flowing along the leaves.
I am pretty sure that such a statement should be true (although it may require some additional hypotheses), but don't know how to prove it.
Could anyone suggest some relevant references (preferably ones which avoid going too deeply into the theory of foliations)?