On transverse R-covered minimal foliations

2025/01/24 by Barbot, Thierry, Fenley, Sergio R., Potrie, Rafael · 1 citation
#Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2501.14489

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.

Cited by

• Partially hyperbolic diffeomorphisms homotopic to the identity in dimension three

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