Abstract
A hyperbolic 3-manifold M which fibers over the circle admits a flow called the suspension flow. We show that such a flow can be isotoped to be uniformly quasigeodesic in the hyperbolic metric on M; i.e., the flow lines lifted to hyperbolic space are K-bilipschitz embeddings of {$\Bbb R$} $K$ > fixed.
Citation
Diane Hoffoss. "Suspension flows are quasigeodesic." J. Differential Geom. 76 (2) 315 - 248, June 2007. https://doi.org/10.4310/jdg/1180135678
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