Key points are not available for this paper at this time.
We show that within a C^1 -neighborhood U of the set of volume preserving Anosov diffeomorphisms on the three-torus T³ which are strongly partially hyperbolic with expanding center, any fUDiff² (T³) satisfies the dichotomy: either the strong-stable and strong-unstable bundles E^s, E^u of f are jointly integrable, or any fully supported u -Gibbs measure of f is SRB.
Alvarez et al. (Wed,) studied this question.