Lines of minima are uniformly quasi-geodesic

Abstract

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.

23 pages, 2 figures, revised exposition

References in corpus (1)

• Limits of quasifuchsian groups with small bending