English

Shearing coordinates and convexity of length functions on Teichmueller space

Geometric Topology 2009-02-06 v1

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.

Keywords

Cite

@article{arxiv.0902.0829,
  title  = {Shearing coordinates and convexity of length functions on Teichmueller space},
  author = {M. Bestvina and K. Bromberg and K. Fujiwara and J. Souto},
  journal= {arXiv preprint arXiv:0902.0829},
  year   = {2009}
}