Stable Minimality of Expanding Foliations

We prove that generically in Diffm1(M), if an expanding f-invariant foliation W of dimension u is minimal and there is a periodic point of unstable index u, the foliation is stably minimal. By this we mean there is a C¹-neighborhood U of f such that for all C²-diffeomorphisms g∈ U, the g-invariant continuation of W is minimal. In particular, all such g are topologically mixing. Moreover, all such g have a hyperbolic ergodic component of the volume measure m which is essentially dense. This component is, in fact, Bernoulli. We provide new examples of diffeomorphisms with stably minimal expanding foliations which are not partially hyperbolic.