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Shearing coordinates and convexity of length functions on Teichmüller space
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 135, Number 6, December 2013
- pp. 1449-1476
- 10.1353/ajm.2013.0049
- Article
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We prove that there are Fenchel-Nielsen coordinates for the Teichmüller space of a finite area hyperbolic surface with respect to which the length functions are convex.