Abstract

We continue the comparison between lines of minima and Teichmüller geodesics begun in our previous work. For two measured laminations ν⁺ and ν⁻ that fill up a hyperbolizable surface S and for t in (−∞,∞), let L_t be the unique hyperbolic surface that minimizes the length function e^tl(ν⁺) + e^−tl(ν⁻) on Teichmüller space. We prove that the path t↦L_t is a Teichmüller quasigeodesic.

Keywords

lines of minima, Teichmüller space, quasigeodesic

Mathematical Subject Classification

Primary: 30F60

Authors