Characterizing the Delaunay decompositions of compact hyperbolic surfaces
Geometric Topology
2014-11-11 v2 Differential Geometry
Abstract
Given a Delaunay decomposition of a compact hyperbolic surface, one may record the topological data of the decomposition, together with the intersection angles between the `empty disks' circumscribing the regions of the decomposition. The main result of this paper is a characterization of when a given topological decomposition and angle assignment can be realized as the data of an actual Delaunay decomposition of a hyperbolic surface.
Cite
@article{arxiv.math/0103174,
title = {Characterizing the Delaunay decompositions of compact hyperbolic surfaces},
author = {Gregory Leibon},
journal= {arXiv preprint arXiv:math/0103174},
year = {2014}
}
Comments
Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol6/paper12.abs.html