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arxiv: 0902.0829 · v1 · submitted 2009-02-05 · 🧮 math.GT

Shearing coordinates and convexity of length functions on Teichmueller space

classification 🧮 math.GT
keywords coordinatesfunctionslengthspaceteichmuellerareaconvexconvexity
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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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