New examples of surfaces in H³ with conformal normal Gauss map

DOI10.1590/S0001-37652006000100002zbMath1123.53030OpenAlexW2133960689WikidataQ51946473 ScholiaQ51946473MaRDI QIDQ3410310

Shuguo Shi

Publication date: 27 November 2006

Published in: Anais da Academia Brasileira de Ciências (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1590/s0001-37652006000100002

zbMATH Keywords

ruled surfacehyperbolic spacetranslational surfaceconformal normal Gauss map

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)

Related Items (1)

The hypersurfaces with conformal normal Gauss map in Hn+1 and S1n+1

Cites Work

• Weierstrass representation for minimal surfaces in hyperbolic space
• The Gauss map and second fundamental form of surfaces in \(\mathbb{R}^3\)
• Weierstrass representation for surfaces with prescribed normal Gauss map and Gauss curvature in \(H^3\)
• Flat surfaces in the hyperbolic 3-space
• Constant Mean Curvature Surfaces in Hyperbolic Space
• Some Uses of the Second Conformal Structure on Strictly Convex Surfaces

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