A characterization of short curves of a Teichmueller geodesic
Geometric Topology
2014-11-11 v3
Abstract
We provide a combinatorial condition characterizing curves that are short along a Teichmueller geodesic. This condition is closely related to the condition provided by Minsky for curves in a hyperbolic 3-manifold to be short. We show that short curves in a hyperbolic manifold homeomorphic to S x R are also short in the corresponding Teichmueller geodesic, and we provide examples demonstrating that the converse is not true.
Keywords
Cite
@article{arxiv.math/0404227,
title = {A characterization of short curves of a Teichmueller geodesic},
author = {Kasra Rafi},
journal= {arXiv preprint arXiv:math/0404227},
year = {2014}
}
Comments
Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol9/paper5.abs.html