Shearing coordinates and convexity of length functions on Teichmueller space

Abstract

We prove that there are Fenchel-Nielsen coordinates for the Teichmueller space of a finite area hyperbolic surface with respect to which the length functions are convex.

References in corpus (1)

• Hyperbolic Structures on 3-manifolds, II: Surface groups and 3-manifolds which fiber over the circle

Cited by in corpus (2)

• Convexity of length functions and Thurston's shear coordinates
• Length of a curve is quasi-convex along a Teichmuller geodesic