Constant Mean Curvature Surfaces with Two Ends in Hyperbolic Space

DOI10.1080/10586458.1998.10504360zbMath0980.53081arXiv0804.4211OpenAlexW2026712925MaRDI QIDQ4228026

Wayne Rossman, Katsunori Sato

Publication date: 19 December 2001

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.4211

zbMATH Keywords

hyperbolic spaceminimal surfacesconstant mean curvaturegenus-one catenoid cousins

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

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Cites Work

• On Alexandrov-Bernstein theorems in hyperbolic space
• Complete constant mean curvature surfaces in Euclidean three-space
• Uniqueness, symmetry, and embeddedness of minimal surfaces
• Symmetry of constant mean curvature hypersurfaces in hyperbolic space
• The triply periodic minimal surfaces of Alan Schoen and their constant mean curvature companions
• Irreducible constant mean curvature 1 surfaces in hyperbolic space with positive genus
• Complete surfaces of constant mean curvature-1 in the hyperbolic 3-space
• Surfaces of constant mean curvature \(c\) in \(H^ 3(-c^ 2)\) with prescribed hyperbolic Gauss map
• Constant Mean Curvature Surfaces in Hyperbolic Space
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