| Summary: | If a partially hyperbolic diffeomorphism on a torus of dimension d greater than 3 has
stable and unstable foliations which are quasi-isometric on the universal cover,
and its center direction is one-dimensional, then the diffeomorphism is leaf
conjugate to a linear toral automorphism. In other words, the hyperbolic
structure of the diffeomorphism is exactly that of a linear, and thus simple to
understand, example. In particular, every partially hyperbolic diffeomorphism on
the 3-torus is leaf conjugate to a linear toral automorphism.
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