We show that within a C¹ -neighborhood {U} of the set of volume preserving Anosov diffeomorphisms on the three-torus {T^3} which are strongly partially hyperbolic with expanding center, any f∈{U}∩{Diff^2(T^3)} satisfies the dichotomy: either the strong-stable and strong-unstable bundles Eˢ , Eᵘ of f are jointly integrable, or any fully supported u -Gibbs measure of f is SRB.
No takes yet. Share an insight, caveat, or question.
Alvarez et al. (2024) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: