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Partial hyperbolicity on 3-dimensional nilmanifolds

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  • Every partially hyperbolic diffeomorphism on a 3-dimensional nilmanifold is leaf conjugate to a nilmanifold automorphism. Moreover, if the nilmanifold is not the 3-torus, the center foliation is an invariant circle bundle.
    Mathematics Subject Classification: Primary: 37D30.

    Citation:

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