Deforming ideal solid tori
Geometric Topology
2009-11-17 v1
Abstract
We describe the deformation space of a solid torus with boundary modelled on convex ideal hyperbolic polyhedra. This deformation space is given by natural Gauss--Bonnet type inequalities on the dihedral angles. The result extends to solid tori with an arbitrary conical singularity along the core. Our method is to decompose the torus into tetrahedra and maximize a volume functional.
Cite
@article{arxiv.0911.3067,
title = {Deforming ideal solid tori},
author = {François Guéritaud},
journal= {arXiv preprint arXiv:0911.3067},
year = {2009}
}
Comments
15 pages, 0 figures