ON PARTIALLY HYPERBOLIC DIFFEOMORPHISMS IN DIMENSION THREE VIA A NOTION OF AUTONOMOUS DYNAMICS

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Abstract

We introduce a notion of autonomous dynamical systems and apply it to prove rigidity of partially hyperbolic diffeomorphisms on closed compact three-manifolds under some smoothness hypothesis of their associated framing.

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Allout, S., & Moghaddamfar, K. (2023). ON PARTIALLY HYPERBOLIC DIFFEOMORPHISMS IN DIMENSION THREE VIA A NOTION OF AUTONOMOUS DYNAMICS. Bulletin de La Societe Mathematique de France, 151(4), 613–646. https://doi.org/10.24033/bsmf.2879

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