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On transverse $R$-covered minimal foliations

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arxiv 2501.14489 v2 pith:IJS2W5OL submitted 2025-01-24 math.GT math.DGmath.DS

Thierry Barbot , Sergio R. Fenley , Rafael Potrie This is my paper · ORCID
classification math.GTmath.DGmath.DS
keywords foliationsanosovcoveredfoliationminimaltransverseadditionambient
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abstract

We study minimal transverse foliations which are $R$-covered. If in addition the dimension of the ambient manifold is $3$, and the foliations are Anosov foliations we give necessary and sufficient conditions for the intersected foliation to be the orbit foliation of an Anosov flow.

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  1. Partially hyperbolic diffeomorphisms homotopic to the identity in dimension three

    math.DS 2025-05 conditional novelty 8.0 of 10

    Conservative partially hyperbolic diffeomorphisms homotopic to the identity on closed 3-manifolds with non-virtually-solvable fundamental group are always accessible and hence ergodic.

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