Lines of minima are uniformly quasi-geodesic

Details Lines of minima are uniformly quasi-geodesic Lines of minima are uniformly quasi-geodesic

2007-06-14

arxiv.org/abs/0706.2044v2

Mathematics

Geometric Topology

23 pages, 2 figures, revised exposition

Scientific paper

We continue the comparison between lines of minima and Teichmueller geodesics
begun in [CRS1]. We show that in the Teichmueller space of a surface S, lines
of minima are quasi-geodesic with respect to the Teichmueller metric. The
quasi-geodesic constants depend only on the topological type of S.

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