Lipschitz regularity of the extremal distribution forces C^∞ regularity for volume-preserving partially hyperbolic diffeomorphisms on closed 3-manifolds.
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Extremal distributions of partially hyperbolic systems: the Lipschitz threshold
Lipschitz regularity of the extremal distribution forces C^∞ regularity for volume-preserving partially hyperbolic diffeomorphisms on closed 3-manifolds.