The paper proves rigidity theorems: if the strong foliation of a perturbation f is mapped to the linear one by the conjugacy h to the toral automorphism L, then h is smooth along the weak foliation and the joint strong-unstable foliation is regular; symmetric results hold for the weak foliation, and
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Rigidity of strong and weak foliations
The paper proves rigidity theorems: if the strong foliation of a perturbation f is mapped to the linear one by the conjugacy h to the toral automorphism L, then h is smooth along the weak foliation and the joint strong-unstable foliation is regular; symmetric results hold for the weak foliation, and