Steiner ratio for hyperbolic surfaces.

DOI10.3792/PJAA.82.77zbMath1114.53034OpenAlexW2065969435MaRDI QIDQ863754

Nobuhiro Innami, Byung Hak Kim

Publication date: 7 February 2007

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1155820123

zbMATH Keywords

Riemannian geometrygeodesichyperbolic geometrySteiner treePoincaré diskSteiner ratio

Mathematics Subject Classification ID

Trees (05C05) Global Riemannian geometry, including pinching (53C20)

Related Items (6)

Minimal Networks: A Review ⋮ Steiner ratio for Hadamard surfaces of curvature at most \(k < 0\) ⋮ Estimates for the Steiner-Gromov ratio of Riemannian manifolds ⋮ The Steiner ratio conjecture of Gilbert-Pollak may still be open ⋮ Steiner type ratios of Gromov-Hausdorff space ⋮ Branched coverings and Steiner ratio

Cites Work

• Compression theorems and Steiner ratios on spheres
• The Steiner ratio for manifolds.
• The Steiner ratio conjecture of Gilbert and Pollak is true.
• Steiner Minimal Trees

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