Mean curvature 1 surfaces of Costa type in hyperbolic three-space

DOI10.2748/tmj/1113247804zbMath1014.53007OpenAlexW2009746579MaRDI QIDQ1598964

Vicente F. Sousa Neto, Celso J. Costa

Publication date: 29 June 2003

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1113247804

zbMATH Keywords

horospherehyperbolic three-spacecomplete mean curvature one surfacecousin correspondence

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) Non-Euclidean differential geometry (53A35)

Related Items (1)

Mean curvature one surfaces in hyperbolic space, and their relationship to minimal surfaces in Euclidean space

Cites Work

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• On the index of constant mean curvature 1 surfaces in hyperbolic space
• Example of a complete minimal immersion in IR3 of genus one and three-embedded ends
• On the geometry of constant mean curvature one surfaces in hyperbolic space

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