On transverse $R$-covered minimal foliations
Thierry Barbot, Sergio R. Fenley, Rafael Potrie
TL;DR
This paper investigates minimal transverse foliations that are $R$-covered, focusing on 3-dimensional manifolds with Anosov foliations, and establishes conditions for the intersected foliation to correspond to an Anosov flow.
Contribution
It provides necessary and sufficient conditions for the intersected foliation to be the orbit foliation of an Anosov flow in 3D $R$-covered minimal foliations.
Findings
Characterization of when intersected foliations are orbit foliations of Anosov flows
Conditions for $R$-covered minimal foliations in 3D manifolds
Insights into the structure of Anosov foliations
Abstract
We study minimal transverse foliations which are -covered. If in addition the dimension of the ambient manifold is , 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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Taxonomy
TopicsComputational Geometry and Mesh Generation · Advanced Numerical Analysis Techniques · Point processes and geometric inequalities