English

Lines of minima are uniformly quasi-geodesic

Geometric Topology 2008-03-13 v2

Abstract

We continue the comparison between lines of minima and Teichmueller geodesics begun in [CRS1]. We show that in the Teichmueller space of a surface S, lines of minima are quasi-geodesic with respect to the Teichmueller metric. The quasi-geodesic constants depend only on the topological type of S.

Keywords

Cite

@article{arxiv.0706.2044,
  title  = {Lines of minima are uniformly quasi-geodesic},
  author = {Young-Eun Choi and Kasra Rafi and Caroline Series},
  journal= {arXiv preprint arXiv:0706.2044},
  year   = {2008}
}

Comments

23 pages, 2 figures, revised exposition