Quasigeodesic Flows in Hyperbolic Three-Manifolds

Details Quasigeodesic Flows in Hyperbolic Three-Manifolds Quasigeodesic Flows in Hyperbolic Three-Manifolds

1995-07-11

arxiv.org/abs/math/9507216v1

Mathematics

Geometric Topology

Scientific paper

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.

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