Open Access
June 2007 Suspension flows are quasigeodesic
Diane Hoffoss
J. Differential Geom. 76(2): 315-248 (June 2007). DOI: 10.4310/jdg/1180135678

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.

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Diane Hoffoss. "Suspension flows are quasigeodesic." J. Differential Geom. 76 (2) 315 - 248, June 2007. https://doi.org/10.4310/jdg/1180135678

Information

Published: June 2007
First available in Project Euclid: 25 May 2007

zbMATH: 1125.53068
MathSciNet: MR2330414
Digital Object Identifier: 10.4310/jdg/1180135678

Rights: Copyright © 2007 Lehigh University

Vol.76 • No. 2 • June 2007
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