Pseudo-Anosov flows on 3-manifolds induce isometric actions on Gromov-hyperbolic spaces, with generic elements in the fundamental group for non-R-covered flows.
Non-transitive pseudo- A nosov flows
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Veering triangulations for Anosov flows with orientable foliations admit Legendrian edge realizations in strongly adapted bicontact structures and can be placed in steady position, implying horizontal surgery correspondences via prior author result.
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Pseudo-Anosov flows and the geometry of Anosov-like group actions
Pseudo-Anosov flows on 3-manifolds induce isometric actions on Gromov-hyperbolic spaces, with generic elements in the fundamental group for non-R-covered flows.