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math.GT2010
Bounded combinatorics and the Lipschitz metric on Teichmüller space
Anna Lenzhen, Kasra Rafi, Jing Tao
Considering the Teichmüller space of a surface equipped with Thurston's Lipschitz metric, we study geodesic segments whose endpoints have bounded combinatorics. We show that these…
math.GT2010
Length of a curve is quasi-convex along a Teichmuller geodesic
Anna Lenzhen, Kasra Rafi
We show that for every simple closed curve α, the extremal length and the hyperbolic length of αare quasi-convex functions along any Teichmuller geodesic. As a corollary, we conclu…