English

Diameter, width and thickness in the hyperbolic plane

Metric Geometry 2020-12-01 v1

Abstract

This paper contains a new concept to measure the width and thickness of a convex body in the hyperbolic plane. We compare the known concepts with the new one and prove some results on bodies of constant width, constant diameter and given thickness.

Keywords

Cite

@article{arxiv.2011.14739,
  title  = {Diameter, width and thickness in the hyperbolic plane},
  author = {Ákos G. Horváth},
  journal= {arXiv preprint arXiv:2011.14739},
  year   = {2020}
}

Comments

19 pages, 13 figures

R2 v1 2026-06-23T20:35:49.783Z