Quasigeodesic Flows in Hyperbolic Three-Manifolds

1995/07/11 by Sérgio R. Fenley, Sérgio Fenley, Lee Mosher +2
Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry and complex manifolds #Mathematical Dynamics and Fractals #math.GT

paper · pdf · doi:10.48550/arxiv.math/9507216

arxiv created 1995/07/11 · openalex publication_date 1995/07/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Any closed, oriented, hyperbolic three-manifold with nontrivial second homology has many quasigeodesic flows, where quasigeodesic means that flow lines are uniformly efficient in measuring distance in relative homotopy classes. The flows are pseudo-Anosov flows which are almost transverse to finite depth foliations in the manifold. The main tool is the use of a sutured manifold hierarchy which has good geometric properties.

Citations

• Dynamical systems and the homology norm of a 3-manifold, I: efficient intersection of surfaces and flows

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