Abstract
We prove that the Steiner ratio for hyperbolic surfaces is $1/2$.
Citation
Nobuhiro Innami. Byung Hak Kim. "Steiner ratio for hyperbolic surfaces." Proc. Japan Acad. Ser. A Math. Sci. 82 (6) 77 - 79, June 2006. https://doi.org/10.3792/pjaa.82.77
Information
Published: June 2006
First available in Project Euclid: 17 August 2006
zbMATH: 1114.53034
MathSciNet: MR2255998
Digital Object Identifier: 10.3792/pjaa.82.77
Subjects:
Primary:
53C20
Secondary:
05C05
Keywords:
Geodesic
,
hyperbolic geometry
,
Riemannian geometry
,
Steiner ratio
,
Steiner tree
Rights: Copyright © 2006 The Japan Academy
