English

Ball packings in hyperbolic space

Metric Geometry 2022-02-23 v1

Abstract

In hyperbolic space density cannot be defined by a limit as we define it in Euclidean space. We describe the local density bounds for sphere packings and we discuss the different attempts to define optimal arrangements in hyperbolic space.

Keywords

Cite

@article{arxiv.2202.10797,
  title  = {Ball packings in hyperbolic space},
  author = {Gábor Fejes Tóth and Lázló Fejes Tóth and Włodzimierz. Kuperberg},
  journal= {arXiv preprint arXiv:2202.10797},
  year   = {2022}
}
R2 v1 2026-06-24T09:49:28.147Z