Lengthening deformations of singular hyperbolic tori
Geometric Topology
2015-06-19 v1
Abstract
Let be a torus with a hyperbolic metric admitting one puncture or cone singularity. We describe which infinitesimal deformations of lengthen (or shrink) all closed geodesics. We also study how the answer degenerates when becomes Euclidean, i.e. very small.
Keywords
Cite
@article{arxiv.1506.05654,
title = {Lengthening deformations of singular hyperbolic tori},
author = {François Guéritaud},
journal= {arXiv preprint arXiv:1506.05654},
year = {2015}
}
Comments
17 pages, 5 figures. To appear in: Annales de la facult\'e des sciences de Toulouse (volume dedicated to Michel Boileau's sixtieth birthday)