Shearing coordinates and convexity of length functions on Teichmueller space

Details Shearing coordinates and convexity of length functions on Teichmueller space Shearing coordinates and convexity of length functions on Teichmueller space

2009-02-05

arxiv.org/abs/0902.0829v1

Mathematics

Geometric Topology

Scientific paper

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.

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